Optical image capturing system

ABSTRACT

An optical image capturing system, sequentially including a first lens element, a second lens element, a third lens element and a fourth lens element from an object side to an image side, is disclosed. The first lens element has positive refractive power. The second lens element, the third lens element and the fourth lens element have refractive power respectively. At least one of the image side surface and the object side surface of each of the four lens elements are aspheric. The optical lens elements can increase aperture value and improve the imagining quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of Taiwan Patent Application No.104112456, filed on Apr. 17, 2015, in the Taiwan Intellectual PropertyOffice, the disclosure of which is incorporated herein in its entiretyby reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present disclosure relates to an optical image capturing system, andmore particularly to a compact optical image capturing system which canbe applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices havingcamera functionalities, the demand for an optical image capturing systemis raised gradually. The image sensing device of ordinary photographingcamera is commonly selected from charge coupled device (CCD) orcomplementary metal-oxide semiconductor sensor (CMOS Sensor). Inaddition, as advanced semiconductor manufacturing technology enables theminimization of pixel size of the image sensing device, the developmentof the optical image capturing system directs towards the field of highpixels. Therefore, the requirement for high imaging quality is rapidlyraised.

The traditional optical image capturing system of a portable electronicdevice comes with different designs, including a second-lens or athird-lens design. However, the requirement for the higher pixels andthe requirement for a large aperture of an end user, likefunctionalities of micro filming and night view, or the requirement ofwide view angle of the portable electronic device have been raised. Butthe optical image capturing system with the large aperture design oftenproduces more aberration resulting in the deterioration of quality inperipherical image formation and difficulties of manufacturing, and theoptical image capturing system with wide view angle design increasesdistortion rate in image formation, thus the optical image capturingsystem in prior arts cannot meet the requirement of the higher ordercamera lens module.

Therefore, how to effectively increase quantity of incoming light andview angle of the optical lenses, not only further improves total pixelsand imaging quality for the image formation, but also considers theequity design of the miniaturized optical lenses, becomes a quiteimportant issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an opticalimage capturing system and an optical image capturing lens which usecombination of refractive powers, convex and concave surfaces offour-piece optical lenses (the convex or concave surface in thedisclosure denotes the geometrical shape of an image-side surface or anobject-side surface of each lens on an optical axis) to increase thequantity of incoming light of the optical image capturing system and theview angle of the optical lenses, and to improve total pixels andimaging quality for image formation, so as to be applied to minimizedelectronic products.

The term and its definition to the lens element parameter in theembodiment of the present invention are shown as below for furtherreference.

The Lens Element Parameter Related to a Length or a Height in the LensElement

A height for image formation of the optical image capturing system isdenoted by HOI. A height of the optical image capturing system isdenoted by HOS. A distance from the object-side surface of the firstlens element to the image-side surface of the fourth lens element isdenoted by InTL. A distance from the image-side surface of the fourthlens element to an image plane is denoted by InB. InTL+InB=HOS. Adistance from an aperture stop (aperture) to an image plane is denotedby InS. A distance from the first lens element to the second lenselement is denoted by In12 (instance). A central thickness of the firstlens element of the optical image capturing system on the optical axisis denoted by TP1 (instance).

The Lens Element Parameter Related to a Material in the Lens Element

An Abbe number of the first lens element in the optical image capturingsystem is denoted by NA1 (instance). A refractive index of the firstlens element is denoted by Nd1 (instance).

The Lens Element Parameter Related to a View Angle in the Lens Element

A view angle is denoted by AF. Half of the view angle is denoted by HAF.A major light angle is denoted by MRA.

The Lens Element Parameter Related to Exit/Entrance Pupil in the LensElement

An entrance pupil diameter of the optical image capturing system isdenoted by HEP.

The Lens Element Parameter Related to a Depth of the Lens Element Shape

A distance in parallel with an optical axis from a maximum effectivehalf diameter position to an axial point on the object-side surface ofthe fourth lens element is denoted by InRS41 (instance). A distance inparallel with an optical axis from a maximum effective half diameterposition to an axial point on the image-side surface of the fourth lenselement is denoted by InRS42 (instance).

The Lens Element Parameter Related to the Lens Element Shape

A critical point C is a tangent point on a surface of a specific lenselement, and the tangent point is tangent to a plane perpendicular tothe optical axis and the tangent point cannot be a crossover point onthe optical axis. To follow the past, a distance perpendicular to theoptical axis between a critical point C31 on the object-side surface ofthe third lens element and the optical axis is HVT31 (instance). Adistance perpendicular to the optical axis between a critical point C32on the image-side surface of the third lens element and the optical axisis HVT32 (instance). A distance perpendicular to the optical axisbetween a critical point C41 on the object-side surface of the fourthlens element and the optical axis is HVT41 (instance). A distanceperpendicular to the optical axis between a critical point C42 on theimage-side surface of the fourth lens element and the optical axis isHVT42 (instance). The object-side surface of the fourth lens element hasone inflection point IF411 which is nearest to the optical axis, and thesinkage value of the inflection point IF411 is denoted by SGI411. Adistance perpendicular to the optical axis between the inflection pointIF411 and the optical axis is HIF411 (instance). The image-side surfaceof the fourth lens element has one inflection point IF421 which isnearest to the optical axis and the sinkage value of the inflectionpoint IF421 is denoted by SGI421 (instance). A distance perpendicular tothe optical axis between the inflection point IF421 and the optical axisis HIF421 (instance). The object-side surface of the fourth lens elementhas one inflection point IF412 which is the second nearest to theoptical axis and the sinkage value of the inflection point IF412 isdenoted by SGI412 (instance). A distance perpendicular to the opticalaxis between the inflection point IF412 and the optical axis is HIF412(instance). The image-side surface of the fourth lens element has oneinflection point IF422 which is the second nearest to the optical axisand the sinkage value of the inflection point IF422 is denoted by SGI422(instance). A distance perpendicular to the optical axis between theinflection point IF422 and the optical axis is HIF422 (instance).

The Lens Element Parameter Related to an Aberration

Optical distortion for image formation in the optical image capturingsystem is denoted by ODT. TV distortion for image formation in theoptical image capturing system is denoted by TDT. Further, the range ofthe aberration offset for the view of image formation may be limited to50%-100%. An offset of the spherical aberration is denoted by DFS. Anoffset of the coma aberration is denoted by DFC.

The disclosure provides an optical image capturing system, anobject-side surface or an image-side surface of the fourth lens elementhas inflection points, such that the angle of incidence from each viewfield to the fourth lens element can be adjusted effectively and theoptical distortion and the TV distortion can be corrected as well.Besides, the surfaces of the fourth lens element may have a betteroptical path adjusting ability to acquire better imaging quality.

The disclosure provides an optical image capturing system, in order froman object side to an image side, including a first, second, third andfourth lens elements. The first lens element may have positiverefractive power and the fourth lens element may have refractive power.An object-side surface and an image-side surface of the fourth lenselement are aspheric. Focal lengths of the first through fourth lenselements are f1, f2, f3 and f4 respectively. A focal length of theoptical image capturing system is f. An entrance pupil diameter of theoptical image capturing system is HEP. Half of a maximal view angle ofthe optical image capturing system is HAF. A distance from anobject-side surface of the first lens element to the image plane is HOS.The following relations are satisfied: 1.2≦f/HEP≦3.0 and 0.5≦HOS/f≦3.0.

The disclosure provides another optical image capturing system, in orderfrom an object side to an image side, including a first, second, thirdand fourth lens elements. The first lens element has positive refractivepower, and an object-side surface and an image-side surface of the firstlens element are aspheric. The second lens element has refractive power.The third lens element has refractive power. The fourth lens element hasrefractive power, and an object-side surface and an image-side surfaceof the fourth lens element are aspheric. Focal lengths of the firstthrough fourth lens elements are f1, f2, f3 and f4 respectively. A focallength of the optical image capturing system is f. An entrance pupildiameter of the optical image capturing system is HEP. Half of a maximalview angle of the optical image capturing system is HAF. A distance froman object-side surface of the first lens element to the image plane isHOS. Optical distortion and TV distortion for image formation in theoptical image capturing system are ODT and TDT, respectively. Thefollowing relations are satisfied: 1.2≦f/HEP≦3.0, 0.4≦| tan(HAF)|≦3.0,0.5≦HOS/f≦3.0, |TDT|<60%, and |ODT|≦50%.

The disclosure provides another optical image capturing system, in orderfrom an object side to an image side, including a first, second, thirdand fourth lens elements. The first lens element has positive refractivepower, and an object-side surface and an image-side surface of the firstlens element are aspheric. The second lens element has negativerefractive power. The third lens element has refractive power. Thefourth lens element has refractive power, wherein the fourth lenselement has at least one inflection point on at least one surface and anobject-side surface and an image-side surface of the fourth lens elementare aspheric. Focal lengths of the first through fourth lens elementsare f1, f2, f3 and f4, respectively. A focal length of the optical imagecapturing system is f. An entrance pupil diameter of the optical imagecapturing system is HEP. Half of a maximal view angle of the opticalimage capturing system is HAF. A distance from an object-side surface ofthe first lens element to the image plane is HOS. Optical distortion andTV distortion for image formation in the optical image capturing systemare ODT and TDT, respectively. The following relations are satisfied:1.2≦f/HEP≦2.8, 0.4| tan(HAF)|≦1.5, 0.5≦HOS/f≦2.5, |TDT|<1.5%, and|ODT|≦2.5%.

The optical image capturing system described above may be configured toform the image on the image sensing device which is shorter than 1/1.2inch in diagonal length. The preferred size of the image sensing deviceis 1/2.3 inch. The pixel size of the image sensing device is smallerthan 1.4 micrometers (μm), preferably the pixel size thereof is smallerthan 1.12 micrometers (μm). The best pixel size thereof is smaller than0.9 micrometers (μm). Furthermore, the optical image capturing system isapplicable to the image sensing device with aspect ratio of 16:9.

The optical image capturing system described above is applicable to thedemand of video recording with above millions or ten millions-pixels(e.g. 4K2K or called UHD, QHD) and leads to a good imaging quality.

The height of optical system (HOS) may be reduced to achieve theminimization of the optical image capturing system when the absolutevalue of f1 is larger than f4 (|f1|>f4).

When |f2|+|f3|>|f1|+|f4| is satisfied with above relations, at least oneof the second through third lens elements may have weak positiverefractive power or weak negative refractive power. The weak refractivepower indicates that an absolute value of the focal length of a specificlens element is greater than 10. When at least one of the second throughthird lens elements has the weak positive refractive power, the positiverefractive power of the first lens element can be shared, such that theunnecessary aberration will not appear too early. On the contrary, whenat least one of the second through third lens elements has the weaknegative refractive power, the aberration of the optical image capturingsystem can be corrected and fine tuned.

The fourth lens element may have negative refractive power and a concaveimage-side surface. Hereby, the back focal length is reduced for keepingthe miniaturization, to miniaturize the lens element effectively. Inaddition, at least one of the object-side surface and the image-sidesurface of the fourth lens element may have at least one inflectionpoint, such that the angle of incident with incoming light from anoff-axis view field can be suppressed effectively and the aberration inthe off-axis view field can be corrected further.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the presentdisclosure will now be described in more details hereinafter withreference to the accompanying drawings that show various embodiments ofthe present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing systemaccording to the first embodiment of the present application.

FIG. 1B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the first embodimentof the present application.

FIG. 1C is a TV distortion grid of the optical image capturing systemaccording to the first embodiment of the present application.

FIG. 2A is a schematic view of the optical image capturing systemaccording to the second embodiment of the present application.

FIG. 2B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the secondembodiment of the present application.

FIG. 2C is a TV distortion grid of the optical image capturing systemaccording to the second embodiment of the present application.

FIG. 3A is a schematic view of the optical image capturing systemaccording to the third embodiment of the present application.

FIG. 3B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the third embodimentof the present application.

FIG. 3C is a TV distortion grid of the optical image capturing systemaccording to the third embodiment of the present application.

FIG. 4A is a schematic view of the optical image capturing systemaccording to the fourth embodiment of the present application.

FIG. 4B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the fourthembodiment of the present application.

FIG. 4C is a TV distortion grid of the optical image capturing systemaccording to the fourth embodiment of the present application.

FIG. 5A is a schematic view of the optical image capturing systemaccording to the fifth embodiment of the present application.

FIG. 5B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the fifth embodimentof the present application.

FIG. 5C is a TV distortion grid of the optical image capturing systemaccording to the fifth embodiment of the present application.

FIG. 6A is a schematic view of the optical image capturing systemaccording to the sixth embodiment of the present application.

FIG. 6B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the sixth embodimentof the present application.

FIG. 6C is a TV distortion grid of the optical image capturing systemaccording to the sixth embodiment of the present application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Reference will now be made in detail to the exemplary embodiments of thepresent disclosure, examples of which are illustrated in theaccompanying drawings. Therefore, it is to be understood that theforegoing is illustrative of exemplary embodiments and is not to beconstrued as limited to the specific embodiments disclosed, and thatmodifications to the disclosed exemplary embodiments, as well as otherexemplary embodiments, are intended to be included within the scope ofthe appended claims. These embodiments are provided so that thisdisclosure will be thorough and complete, and will fully convey theinventive concept to those skilled in the art. The relative proportionsand ratios of elements in the drawings may be exaggerated or diminishedin size for the sake of clarity and convenience in the drawings, andsuch arbitrary proportions are only illustrative and not limiting in anyway. The same reference numbers are used in the drawings and thedescription to refer to the same or like parts.

It will be understood that, although the terms ‘first’, ‘second’,‘third’, etc., may be used herein to describe various elements, theseelements should not be limited by these terms. The terms are used onlyfor the purpose of distinguishing one component from another component.Thus, a first element discussed below could be termed a second elementwithout departing from the teachings of embodiments. As used herein, theterm “or” includes any and all combinations of one or more of theassociated listed items.

An optical image capturing system, in order from an object side to animage side, includes a first, second, third and fourth lens elementswith refractive power. The optical image capturing system may furtherinclude an image sensing device which is disposed on an image plane.

The optical image capturing system uses three sets of wavelengths whichare 486.1 nm, 587.5 nm and 656.2 nm, respectively, wherein 587.5 nm isserved as the primary reference wavelength and 555 nm is served as theprimary reference wavelength of technical features.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each of lens elements with positive refractive poweris PPR. A ratio of the focal length f of the optical image capturingsystem to a focal length fn of each of lens elements with negativerefractive power is NPR. A sum of the PPR of all lens elements withpositive refractive power is ΣPPR. A sum of the NPR of all lens elementswith negative refractive powers is ΣNPR. It is beneficial to control thetotal refractive power and the total length of the optical imagecapturing system when following conditions are satisfied:0.5≦ΣPPR/|ΣNPR|≦4.5. Preferably, the following relation may besatisfied: 1≦ΣPPR/|ΣNPR|≦3.5.

The height of the optical image capturing system is HOS. It willfacilitate the manufacturing of miniaturized optical image capturingsystem which may form images with ultra high pixels when the specificratio value of HOS/f tends to 1.

A sum of a focal length fp of each lens element with positive refractivepower is ΣPP. A sum of a focal length fn of each lens element withnegative refractive power is ΣNP. In one embodiment of the optical imagecapturing system of the present disclosure, the following relations aresatisfied: 0<ΣPP≦200 and f1/ΣPP≦0.85. Preferably, the followingrelations may be satisfied: 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.65. Hereby, it'sbeneficial to control the focus ability of the optical image capturingsystem and allocate the positive refractive power of the optical imagecapturing system appropriately, so as to suppress the significantaberration generating too early.

The first lens element may have positive refractive power, and it has aconvex object-side surface. Hereby, strength of the positive refractivepower of the first lens element can be fined-tuned, so as to reduce thetotal length of the optical image capturing system.

The second lens element may have negative refractive power. Hereby, theaberration generated by the first lens element can be corrected.

The third lens element may have positive refractive power. Hereby, thepositive refractive power of the first lens element can be shared.

The fourth lens element may have negative refractive power and a concaveimage-side surface. Hereby, the back focal length is reduced for keepingthe miniaturization, to miniaturize the lens element effectively. Inaddition, at least one of the object-side surface and the image-sidesurface of the fourth lens element may have at least one inflectionpoint, such that the angle of incident with incoming light from anoff-axis view field can be suppressed effectively and the aberration inthe off-axis view field can be corrected further. Preferably, each ofthe object-side surface and the image-side surface may have at least oneinflection point.

The optical image capturing system may further include an image sensingdevice which is disposed on an image plane. Half of a diagonal of aneffective detection field of the image sensing device (imaging height orthe maximum image height of the optical image capturing system) is HOI.A distance on the optical axis from the object-side surface of the firstlens element to the image plane is HOS. The following relations aresatisfied: HOS/HOI≦3 and 0.5≦HOS/f≦3.0. Preferably, the followingrelations may be satisfied: 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2. Hereby, theminiaturization of the optical image capturing system can be maintainedeffectively, so as to be carried by lightweight portable electronicdevices.

In addition, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture stop may bearranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperturestop may be a front or middle aperture. The front aperture is theaperture stop between a photographed object and the first lens element.The middle aperture is the aperture stop between the first lens elementand the image plane. If the aperture stop is the front aperture, alonger distance between the exit pupil and the image plane of theoptical image capturing system can be formed, such that more opticalelements can be disposed in the optical image capturing system and theefficiency of receiving images of the image sensing device can beraised. If the aperture stop is the middle aperture, the view angle ofthe optical image capturing system can be expended, such that theoptical image capturing system has the same advantage that is owned bywide angle cameras. A distance from the aperture stop to the image planeis InS. The following relation is satisfied: 0.5≦InS/HOS≦1.1.Preferably, the following relation may be satisfied: 0.8≦InS/HOS≦1.Hereby, features of maintaining the minimization for the optical imagecapturing system and having wide-angle are available simultaneously.

In the optical image capturing system of the disclosure, a distance fromthe object-side surface of the first lens element to the image-sidesurface of the fourth lens element is InTL. A sum of central thicknessesof all lens elements with refractive power on the optical axis is ΣTP.The following relation is satisfied: 0.45≦ΣTP/InTL≦0.95. Preferably, thefollowing relation may be satisfied: 0.6≦ΣTP/InTL≦0.9. Hereby, contrastratio for the image formation in the optical image capturing system anddefect-free rate for manufacturing the lens element can be givenconsideration simultaneously, and a proper back focal length is providedto dispose other optical components in the optical image capturingsystem.

A curvature radius of the object-side surface of the first lens elementis R1. A curvature radius of the image-side surface of the first lenselement is R2. The following relation is satisfied: 0.01≦|R1/R2|≦0.5.Hereby, the first lens element may have proper strength of the positiverefractive power, so as to avoid the longitudinal spherical aberrationto increase too fast. Preferably, the following relation may besatisfied: 0.01≦|R1/R2|≦0.25.

A curvature radius of the object-side surface of the fourth lens elementis R9. A curvature radius of the image-side surface of the fourth lenselement is R10. The following relation is satisfied:−200<(R7−R8)/(R7+R8)<30. Hereby, the astigmatism generated by theoptical image capturing system can be corrected beneficially.

A distance between the first lens element and the second lens element onthe optical axis is IN12. The following relation is satisfied:0<IN12/f≦0.25. Preferably, the following relation may be satisfied:0.01≦IN12/f≦0.20. Hereby, the chromatic aberration of the lens elementscan be improved, such that the performance can be increased.

A distance between the second lens element and the third lens element onthe optical axis is IN23. The following relation is satisfied:0<IN23/f≦0.25. Preferably, the following relation may be satisfied:0.01≦IN23/f≦0.20. Hereby, the performance of the lens elements can beimproved.

A distance between the third lens element and the fourth lens element onthe optical axis is IN34. The following relation is satisfied:0<IN34/f≦0.25. Preferably, the following relation may be satisfied:0.001≦IN34/f≦0.20. Hereby, the performance of the lens elements can beimproved.

Central thicknesses of the first lens element and the second lenselement on the optical axis are TP1 and TP2, respectively. The followingrelation is satisfied: 1≦(TP1+IN12)/TP2≦10. Hereby, the sensitivityproduced by the optical image capturing system can be controlled, andthe performance can be increased.

Central thicknesses of the third lens element and the fourth lenselement on the optical axis are TP3 and TP4, respectively, and adistance between the aforementioned two lens elements on the opticalaxis is IN34. The following relation is satisfied: 0.2≦(TP4+IN34)/TP4≦3.Hereby, the sensitivity produced by the optical image capturing systemcan be controlled and the total height of the optical image capturingsystem can be reduced.

A distance between the second lens element and the third lens element onthe optical axis is IN23. A total sum of distances from the first lenselement to the fourth lens element on the optical axis is ΣTP. Thefollowing relation is satisfied: 0.01≦IN23/(TP2+IN23+TP3)≦0.5.Preferably, the following relation may be satisfied:0.05≦IN23/(TP2+IN23+TP3)≦0.4. Hereby, the aberration generated by theprocess of moving the incident light can be adjusted slightly layer uponlayer, and the total height of the optical image capturing system can bereduced.

In the optical image capturing system of the disclosure, a distance inparallel with an optical axis from a maximum effective half diameterposition to an axial point on the object-side surface of the first lenselement is InRS11 (the InRS11 is positive if the horizontal displacementis toward the image-side surface, or the InRS11 is negative if thehorizontal displacement is toward the object-side surface). A distancein parallel with an optical axis from a maximum effective half diameterposition to an axial point on the image-side surface of the first lenselement is InRS12. A central thickness of the first lens element is TP1.The following relations are satisfied: 0 mm<|InRS11|+|InRS12|≦2 mm and1.0≦(|InRS11|+TP1+|InRS12|)/TP1≦3. Hereby, the ratio of the centralthickness of the first lens element to the thickness of the effectivehalf diameter (thickness ratio) can be controlled, so as to enhance thedefect-free rate for manufacturing the lens elements.

In the optical image capturing system of the disclosure, a distance inparallel with an optical axis from a maximum effective half diameterposition to an axial point on the object-side surface of the second lenselement is InRS21. A distance in parallel with an optical axis from amaximum effective half diameter position to an axial point on theimage-side surface of the second lens element is InRS22. A centralthickness of the second lens element is TP2. The following relations aresatisfied: 0 mm<|InRS21|+|InRS22|≦2 mm and1.0≦(|InRS21|+TP2+|InRS22|)/TP2≦5. Hereby, the ratio of the centralthickness of the second lens element to the thickness of the effectivehalf diameter (thickness ratio) can be controlled, so as to enhance thedefect-free rate for manufacturing the lens elements.

In the optical image capturing system of the disclosure, a distance inparallel with an optical axis from a maximum effective half diameterposition to an axial point on the object-side surface of the third lenselement is InRS31. A distance in parallel with an optical axis from amaximum effective half diameter position to an axial point on theimage-side surface of the third lens element is InRS32. A centralthickness of the third lens element is TP3. The following relations aresatisfied: 0 mm<|InRS31|+|InRS32|≦2 mm and1.0≦(|InRS31|+TP3+|InRS32|)/TP3≦10. Hereby, the ratio of the centralthickness of the third lens element to the thickness of the effectivehalf diameter (thickness ratio) can be controlled, so as to enhance thedefect-free rate for manufacturing the lens elements.

In the optical image capturing system of the disclosure, a distance inparallel with an optical axis from a maximum effective half diameterposition to an axial point on the object-side surface of the fourth lenselement is InRS41. A distance in parallel with an optical axis from amaximum effective half diameter position to an axial point on theimage-side surface of the fourth lens element is InRS42. A centralthickness of the fourth lens element is TP4. The following relations aresatisfied: 0 mm<|InRS41|+|InRS42|≦5 mm and1.0≦(|InRS41|+TP4+|InRS42|)/TP4≦10. Hereby, the ratio of the centralthickness of the fourth lens element to the thickness of the effectivehalf diameter (thickness ratio) can be controlled, so as to enhance thedefect-free rate for manufacturing the lens elements.

A sum of an absolute value of each distance in parallel with the opticalaxis from a maximum effective half diameter position on an object-sidesurface of each of the four lens elements with refractive power to anaxial point on the object-side surface of each of the four lens elementswith refractive power is InRSO, that isInRSO=|InRS11|+|InRS21|+|InRS31|+|InRS41|. A sum of an absolute value ofeach distance in parallel with the optical axis from a maximum effectivehalf diameter position on an image-side surface of each of the four lenselements with refractive power to an axial point on the image-sidesurface of each of the four lens elements with refractive power isInRSI, that is InRSI=|InRS12|+|InRS22|+|InRS32|+|InRS42|. In the opticalimage capturing system of the disclosure, a sum of an absolute value ofeach distance in parallel with the optical axis from a maximum effectivehalf diameter position on any one surface of each of the four lenselements with refractive power to an axial point on any one surface ofeach of the four lens elements with refractive power isΣ|InRS|=InRSO+InRSI and the following relation is satisfied:0<Σ|InRS|≦15 mm. Hereby, the ability of correcting the aberration in theoff-axis view field can be improved.

The optical image capturing system of the disclosure satisfies thefollowing relations: 0<Σ|InRS|/InTL≦3 and 0<Σ|InRS|/HOS≦2. Hereby, thereduction of the total height of optical system can be givenconsideration simultaneously and the ability of correcting theaberration in the off-axis view field can be improved.

The optical image capturing system of the disclosure satisfies thefollowing relations: 0<|InRS31|+|InRS32|+|InRS41|+|InRS42|≦8 mm,0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/InTL≦3, and0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/HOS≦2. Hereby, the enhancementof the defect-free rate for manufacturing the two lens elements whichare nearest to the image plane can be given consideration simultaneouslyand the ability of correcting the aberration in the off-axis view fieldcan be improved.

A distance perpendicular to the optical axis between a critical point onthe object-side surface of the third lens element and the optical axisis HVT31. A distance perpendicular to the optical axis between acritical point on the image-side surface of the third lens element andthe optical axis is HVT32. The following relations are satisfied:HVT31≧0 mm and HVT32≧0 mm. Hereby, the aberration in the off-axis viewfield can be corrected.

A distance perpendicular to the optical axis between a critical point onthe object-side surface of the fourth lens element and the optical axisis HVT41. A distance perpendicular to the optical axis between acritical point on the image-side surface of the fourth lens element andthe optical axis is HVT42. The following relations are satisfied:HVT41≧0 mm and HVT42≧0 mm. Hereby, the aberration in the off-axis viewfield can be corrected.

The optical image capturing system of the disclosure satisfies thefollowing relation: 0.2≦HVT42/HOI≦0.9. Preferably, the followingrelations may be satisfied: 0.3≦HVT42/HOI≦0.8. Hereby, the aberration ofthe surrounding view field can be corrected.

The optical image capturing system of the disclosure satisfies thefollowing relation: 0≦HVT42/HOS≦0.5. Preferably, the following relationsmay be satisfied: 0.2≦HVT42/HOS≦0.45. Hereby, the aberration of thesurrounding view field can be corrected.

In one embodiment of the optical image capturing system of the presentdisclosure, the chromatic aberration of the optical image capturingsystem can be corrected by alternatively arranging the lens elementswith large Abbe number and small Abbe number.

The above Aspheric formula is:z=ch ²/[1+[1−(k+1)c ² h ²]^(0.5) ]+A4h ⁴ +A6h ⁶ +A8h ⁸ +A10h ¹⁰ +A12h ¹²+A14h ¹⁴ +A16h ¹⁶ +A18h ¹⁸ +A20h ²⁰±  (1),where z is a position value of the position along the optical axis andat the height h which reference to the surface apex; k is the coniccoefficient, c is the reciprocal of curvature radius, and A4, A6, A8,A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lenselements may be made of glass or plastic material. If plastic materialis adopted to produce the lens elements, the cost of manufacturing willbe lowered effectively. If lens elements are made of glass, the heateffect can be controlled and the designed space arranged for therefractive power of the optical image capturing system can be increased.Besides, the object-side surface and the image-side surface of the firstthrough fourth lens elements may be aspheric, so as to obtain morecontrol variables. Comparing with the usage of traditional lens elementmade by glass, the number of lens elements used can be reduced and theaberration can be eliminated. Thus, the total height of the opticalimage capturing system can be reduced effectively.

In addition, in the optical image capturing system provided by thedisclosure, if the lens element has a convex surface, the surface of thelens element is convex adjacent to the optical axis. If the lens elementhas a concave surface, the surface of the lens element is concaveadjacent to the optical axis.

Besides, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture may bearranged for reducing stray light and improving the imaging quality.

The optical image capturing system of the disclosure can be adapted tothe optical image capturing system with automatic focus if required.With the features of a good aberration correction and a high quality ofimage formation, the optical image capturing system can be used invarious application fields.

According to the above embodiments, the specific embodiments withfigures are presented in detail as below.

The First Embodiment Embodiment 1

Please refer to FIG. 1A, FIG. 1B, and FIG. 1C, FIG. 1A is a schematicview of the optical image capturing system according to the firstembodiment of the present application, FIG. 1B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the first embodiment of the present application, andFIG. 1C is a TV distortion grid of the optical image capturing systemaccording to the first embodiment of the present application. As shownin FIG. 1A, in order from an object side to an image side, the opticalimage capturing system includes an aperture 1, a first lens element 110,a second lens element 120, a third lens element 130, a fourth lenselement 140, an IR-bandstop filter 170, an image plane 180, and an imagesensing device 190.

The first lens element 110 has positive refractive power and it is madeof plastic material. The first lens element 110 has a convex object-sidesurface 112 and a concave image-side surface 114, both of theobject-side surface 112 and the image-side surface 114 are aspheric, andthe object-side surface 112 and the image-side surface 114 have aninflection point respectively. A distance in parallel with an opticalaxis from an inflection point on the object-side surface of the firstlens element which is nearest to the optical axis to an axial point onthe object-side surface of the first lens element is denoted by SGI111.A distance in parallel with an optical axis from an inflection point onthe image-side surface of the first lens element which is nearest to theoptical axis to an axial point on the image-side surface of the firstlens element is denoted by SGI121. The following relations aresatisfied: SGI111=0.2008 mm, SGI121=0.0113 mm,|SGI111|/(|SGI111|+TP1)=0.3018 and |SGI121|/(|SGI121|+TP1)=0.0238∘.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the first lens element which is nearest tothe optical axis to an axial point on the object-side surface of thefirst lens element is denoted by HIF111. A distance perpendicular to theoptical axis from the inflection point on the image-side surface of thefirst lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the first lens element is denoted byHIF121. The following relations are satisfied: HIF111=0.7488 mm,HIF121=0.4451 mm, HIF111/HOI=0.2552 and HIF121/HOI=0.1517.

The second lens element 120 has positive refractive power and it is madeof plastic material. The second lens element 120 has a concaveobject-side surface 122 and a convex image-side surface 124, and both ofthe object-side surface 122 and the image-side surface 124 are aspheric.The object-side surface 122 has an inflection point. A distance inparallel with an optical axis from an inflection point on theobject-side surface of the second lens element which is nearest to theoptical axis to an axial point on the object-side surface of the secondlens element is denoted by SGI211. A distance in parallel with anoptical axis from an inflection point on the image-side surface of thesecond lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the second lens element is denoted bySGI221. The following relations are satisfied: SGI211=−0.1791 mm and|SGI211|/(|SGI211|+TP2)=0.3109.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the second lens element which is nearestto the optical axis to an axial point on the object-side surface of thesecond lens element is denoted by HIF211. A distance perpendicular tothe optical axis from the inflection point on the image-side surface ofthe second lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the second lens element is denoted byHIF221. The following relations are satisfied: HIF211=0.8147 mm andHIF211/HOI=0.2777.

The third lens element 130 has negative refractive power and it is madeof plastic material. The third lens element 130 has a concaveobject-side surface 132 and a convex image-side surface 134, and both ofthe object-side surface 132 and the image-side surface 134 are aspheric.The image-side surface 134 has an inflection point. A distance inparallel with an optical axis from an inflection point on theobject-side surface of the third lens element which is nearest to theoptical axis to an axial point on the object-side surface of the thirdlens element is denoted by SGI311. A distance in parallel with anoptical axis from an inflection point on the image-side surface of thethird lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the third lens element is denoted bySGI321. The following relations are satisfied: SGI321=−0.1647 mm and|SGI321|/(|SGI321|+TP3)=0.1884.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the third lens element which isnearest to the optical axis and the optical axis is denoted by HIF311. Adistance perpendicular to the optical axis from the inflection point onthe image-side surface of the third lens element which is nearest to theoptical axis to an axial point on the image-side surface of the thirdlens element is denoted by HIF321. The following relations aresatisfied: HIF321=0.7269 mm and HIF321/HOI=0.2477.

The fourth lens element 140 has negative refractive power and it is madeof plastic material. The fourth lens element 140 has a convexobject-side surface 142 and a concave image-side surface 144, both ofthe object-side surface 142 and the image-side surface 144 are aspheric,the object-side surface 142 has two inflection points and the image-sidesurface 144 has an inflection point. A distance in parallel with anoptical axis from an inflection point on the object-side surface of thefourth lens element which is nearest to the optical axis to an axialpoint on the object-side surface of the fourth lens element is denotedby SGI411. A distance in parallel with an optical axis from aninflection point on the image-side surface of the fourth lens elementwhich is nearest to the optical axis to an axial point on the image-sidesurface of the fourth lens element is denoted by SGI421. The followingrelations are satisfied: SGI411=0.0137 mm, SGI421=0.0922 mm,|SGI411|/(|SGI411|+TP4)=0.0155 and |SGI421|/(|SGI421|+TP4)=0.0956.

A distance in parallel with the optical axis from an inflection point onthe object-side surface of the fourth lens element which is the secondnearest to the optical axis to an axial point on the object-side surfaceof the fourth lens element is denoted by SGI412. The following relationsare satisfied: SGI412=−0.1518 mm and |SGI412|/(|SGI412|+TP4)=0.1482.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which isnearest to the optical axis and the optical axis is denoted by HIF411. Adistance perpendicular to the optical axis between the inflection pointon the image-side surface of the fourth lens element which is nearest tothe optical axis and the optical axis is denoted by HIF421. Thefollowing relations are satisfied: HIF411=0.2890 mm, HIF421=0.5794 mm,HIF411/HOI=0.0985 and HIF421/HOI=0.1975.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the fourth lens element which is thesecond nearest to the optical axis and the optical axis is denoted byHIF412. The following relations are satisfied: HIF412=1.3328 mm andHIF412/HOI=0.4543.

The IR-bandstop filter 170 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the fourth lens element 140 and the image plane 180.

In the optical image capturing system of the first embodiment, a focallength of the optical image capturing system is f, an entrance pupildiameter of the optical image capturing system is HEP, and half of amaximal view angle of the optical image capturing system is HAF. Thedetailed parameters are shown as below: f=3.4375 mm, f/HEP=2.23,HAF=39.69° and tan(HAF)=0.8299.

In the optical image capturing system of the first embodiment, a focallength of the first lens element 110 is f1 and a focal length of thefourth lens element 140 is f4. The following relations are satisfied:f1=3.2736 mm, |f/f1|=1.0501, f4=−8.3381 mm and |f1/f4|=0.3926.

In the optical image capturing system of the first embodiment, focallengths of the second lens element 120 and the third lens element 130are f2 and f3, respectively. The following relations are satisfied:|f2|+|f3|=10.0976 mm, |f1|+|f4|=11.6116 mm and |f2|+|f3|<|f1|+|f4|.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each of lens elements with positive refractive poweris PPR. A ratio of the focal length f of the optical image capturingsystem to a focal length fn of each of lens elements with negativerefractive power is NPR. In the optical image capturing system of thefirst embodiment, a sum of the PPR of all lens elements with positiverefractive power is ΣPPR=|f/f1|+|f/f2|=1.95585. A sum of the NPR of alllens elements with negative refractive powers isΣNPR=|f/f3|+|f/f4|=0.95770 and ΣPPR/|ΣNPR|=2.04224. The followingrelations are also satisfied: |f/f1|=1.05009, |f/f2|=0.90576,|f/f3|=0.54543 and |f/f4|=0.41227.

In the optical image capturing system of the first embodiment, adistance from the object-side surface 112 of the first lens element tothe image-side surface 144 of the fourth lens element is InTL. Adistance from the object-side surface 112 of the first lens element tothe image plane 180 is HOS. A distance from an aperture 100 to an imageplane 180 is InS. Half of a diagonal length of an effective detectionfield of the image sensing device 190 is HOI. A distance from theimage-side surface 144 of the fourth lens element to an image plane 180is InB. The following relations are satisfied: InTL+InB=HOS, HOS=4.4250mm, HOI=2.9340 mm, HOS/HOI=1.5082, HOS/f=1.2873, InTL/HOS=0.7191,InS=4.2128 mm and InS/HOS=0.95204.

In the optical image capturing system of the first embodiment, the sumof central thicknesses of all lens elements with refractive power on theoptical axis is ΣTP. The following relations are satisfied: ΣTP=2.4437mm and ΣTP/InTL=0.76793. Hereby, contrast ratio for the image formationin the optical image capturing system and defect-free rate formanufacturing the lens element can be given considerationsimultaneously, and a proper back focal length is provided to disposeother optical components in the optical image capturing system.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 112 of the first lenselement is R1. A curvature radius of the image-side surface 114 of thefirst lens element is R2. The following relation is satisfied:|R1/R2|=0.1853. Hereby, the first lens element may have proper strengthof the positive refractive power, so as to avoid the longitudinalspherical aberration to increase too fast.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 142 of the fourth lenselement is R7. A curvature radius of the image-side surface 144 of thefourth lens element is R8. The following relation is satisfied:(R7−R8)/(R7+R8)=0.2756. Hereby, the astigmatism generated by the opticalimage capturing system can be corrected beneficially.

In the optical image capturing system of the first embodiment, the focallengths of the first lens element 110 and the second lens element 120are f1 and f2, respectively. A sum of focal lengths of all lens elementswith positive refractive power is ΣPP. The following relations aresatisfied: ΣPP=f1+f2=7.0688 mm and f1/(f1+f2)=0.4631. Hereby, it isfavorable for allocating the positive refractive power of the first lenselement 110 to other positive lens elements and the significantaberrations generated in the process of moving the incident light can besuppressed.

In the optical image capturing system of the first embodiment, the focallengths of the third lens element 130 and the fourth lens element 140are f3 and f4, respectively. A sum of focal lengths of all lens elementswith negative refractive power is ΣNP. The following relations aresatisfied: ΣNP=f3+f4=−14.6405 mm and f4/(f3+f4)=0.5695. Hereby, it isfavorable for allocating the negative refractive power of the fourthlens element 140 to other negative lens elements and the significantaberrations generated in the process of moving the incident light can besuppressed.

In the optical image capturing system of the first embodiment, adistance between the first lens element 110 and the second lens element120 on the optical axis is IN12. The following relations are satisfied:IN12=0.3817 mm and IN12/f=0.11105. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance can beincreased.

In the optical image capturing system of the first embodiment, adistance between the second lens element 120 and the third lens element130 on the optical axis is IN23. The following relations are satisfied:IN23=0.0704 mm and IN23/f=0.02048. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance can beincreased.

In the optical image capturing system of the first embodiment, adistance between the third lens element 130 and the fourth lens element140 on the optical axis is IN34. The following relations are satisfied:IN34=0.2863 mm and IN34/f=0.08330. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance can beincreased.

In the optical image capturing system of the first embodiment, centralthicknesses of the first lens element 110 and the second lens element120 on the optical axis are TP1 and TP2, respectively. The followingrelations are satisfied: TP1=0.46442 mm, TP2=0.39686 mm, TP1/TP2=1.17023and (TP1+IN12)/TP2=2.13213. Hereby, the sensitivity produced by theoptical image capturing system can be controlled, and the performancecan be increased.

In the optical image capturing system of the first embodiment, centralthicknesses of the third lens element 130 and the fourth lens element140 on the optical axis are TP3 and TP4, respectively, and a distancebetween the aforementioned two lens elements on the optical axis isIN34. The following relations are satisfied: TP3=0.70989 mm, TP4=0.87253mm, TP3/TP4=0.81359 and (TP4+IN34)/TP3=1.63248. Hereby, the sensitivityproduced by the optical image capturing system can be controlled and thetotal height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, thefollowing relations are satisfied: IN23/(TP2+IN23+TP3)=0.05980. Hereby,the aberration generated by the process of moving the incident light canbe adjusted slightly layer upon layer, and the total height of theoptical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, adistance in parallel with an optical axis from a maximum effective halfdiameter position to an axial point on the object-side surface 112 ofthe first lens element is InRS11. A distance in parallel with an opticalaxis from a maximum effective half diameter position to an axial pointon the image-side surface 114 of the first lens element is InRS12. Acentral thickness of the first lens element 110 is TP1. The followingrelations are satisfied: InRS11=−0.00165 mm, InRS12=−0.19364 mm;TP1=0.46442 mm and (|InRS11|+TP1+|InRS12|)/TP1=1.4605. Hereby, the ratioof the central thickness of the first lens element 110 to the thicknessof the effective half diameter (thickness ratio) can be controlled, soas to enhance the defect-free rate for manufacturing the lens elements.

A distance in parallel with an optical axis from a maximum effectivehalf diameter position to an axial point on the object-side surface 122of the second lens element is InRS21. A distance in parallel with anoptical axis from a maximum effective half diameter position to an axialpoint on the image-side surface 124 of the second lens element isInRS22. A central thickness of the second lens element 120 is TP2. Thefollowing relations are satisfied: InRS21=−0.19364 mm, InRS22=−0.39073mm, TP2=0.39686 mm and (|InRS21|+TP2+|InRS22|)/TP2=2.4725. Hereby, theratio of the central thickness of the second lens element 120 to thethickness of the effective half diameter (thickness ratio) can becontrolled, so as to enhance the defect-free rate for manufacturing thelens elements.

A distance in parallel with an optical axis from a maximum effectivehalf diameter position to an axial point on the object-side surface 132of the third lens element is InRS31. A distance in parallel with anoptical axis from a maximum effective half diameter position to an axialpoint on the image-side surface 134 of the third lens element is InRS32.A central thickness of the third lens element 130 is TP3. The followingrelations are satisfied: InRS31=−0.38005 mm, InRS32=−0.26306 mm,TP3=0.70989 mm and (|InRS31|+TP3+|InRS32|)/TP3=1.9059. Hereby, the ratioof the central thickness of the third lens element 130 to the thicknessof the effective half diameter (thickness ratio) can be controlled, soas to enhance the defect-free rate for manufacturing the lens elements.

A distance in parallel with an optical axis from a maximum effectivehalf diameter position to an axial point on the object-side surface 142of the fourth lens element is InRS41. A distance in parallel with anoptical axis from a maximum effective half diameter position to an axialpoint on the image-side surface 144 of the fourth lens element isInRS42. A central thickness of the fourth lens element 140 is TP4. Thefollowing relations are satisfied: InRS41=−0.23761 mm, InRS42=−0.20206mm, TP4=0.87253 mm and (|InRS41|+TP4+|InRS42|)/TP4=1.5039. Hereby, theratio of the central thickness of the fourth lens element 140 to thethickness of the effective half diameter (thickness ratio) can becontrolled, so as to enhance the defect-free rate for manufacturing thelens elements.

In the optical image capturing system of the first embodiment, a sum ofan absolute value of each distance in parallel with the optical axisfrom a maximum effective half diameter position on an object-sidesurface of each of the four lens elements with refractive power to anaxial point on the object-side surface of each of the four lens elementswith refractive power is InRSO, that isInRSO=|InRS11|+|InRS21|+|InRS31|+|InRS41|. A sum of an absolute value ofeach distance in parallel with the optical axis from a maximum effectivehalf diameter position on an image-side surface of each of the four lenselements with refractive power to an axial point on the image-sidesurface of each of the four lens elements with refractive power isInRSI, that is InRSI=|InRS12|+|InRS22|+|InRS32|+|InRS42|. In the opticalimage capturing system of the disclosure, a sum of an absolute value ofeach distance in parallel with the optical axis from a maximum effectivehalf diameter position on any one surface of each of the four lenselements with refractive power to an axial point on any one surface ofeach of the four lens elements with refractive power isΣ|InRS|=InRSO+InRSI and the following relations are satisfied:InRSO=0.15888 mm, InRSI=0.27211 mm and Σ|InRS|=0.43099 mm. Hereby, theability of correcting the aberration in the off-axis view field can beimproved.

The optical image capturing system of the first embodiment satisfies thefollowing relations: Σ|InRS|/InTL=0.59111 and Σ|InRS|/HOS=0.42509.Hereby, the reduction of the total height of optical system can be givenconsideration simultaneously and the ability of correcting theaberration in the off-axis view field can be improved.

The optical image capturing system of the first embodiment satisfies thefollowing relations: |InRS31|+|InRS32|+|InRS41|+|InRS42|=1.08279 mm,(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/InTL=0.59111 and(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/HOS=0.42509. Hereby, theenhancement of the defect-free rate for manufacturing the two lenselements which are nearest to the image plane can be given considerationsimultaneously and the ability of correcting the aberration in theoff-axis view field can be improved.

A distance between the second lens element and the third lens element onthe optical axis is IN23. A distance between the third lens element andthe fourth lens element on the optical axis is IN34. The followingrelations are satisfied: 0<(|InRS22|+|InRS31|)/IN23=10.9489 and0<(|InRS32|+|InRS41|)/IN34=1.7485. Hereby, the ability of adjusting theoptical path differences can be improved and the minimization for theoptical image capturing system can be maintained.

In the optical image capturing system of the first embodiment, adistance in parallel with an optical axis from a maximum effective halfdiameter position to an axial point on the object-side surface 142 ofthe fourth lens element is InRS41. A distance in parallel with anoptical axis from a maximum effective half diameter position to an axialpoint on the image-side surface 144 of the fourth lens element isInRS42. A central thickness of the fourth lens element 140 is TP4. Thefollowing relations are satisfied: InRS41=−0.23761 mm, InRS42=−0.20206mm, |InRS41|+|InRS42|=0.43967 mm, |InRS41|/TP4=0.27232 and|InRS42|/TP4=0.23158. Hereby, it is favorable for manufacturing andforming the lens element and for maintaining the minimization for theoptical image capturing system.

In the optical image capturing system of the first embodiment, adistance perpendicular to the optical axis between a critical point C31on the object-side surface 132 of the third lens element and the opticalaxis is HVT31. A distance perpendicular to the optical axis between acritical point C32 on the image-side surface 134 of the third lenselement and the optical axis is HVT32. The following relations aresatisfied: HVT31=0 mm and HVT32=1.1142 mm. Hereby, the aberration of thesurrounding view field can be corrected.

In the optical image capturing system of the first embodiment, adistance perpendicular to the optical axis between a critical point C41on the object-side surface 142 of the fourth lens element and theoptical axis is HVT41. A distance perpendicular to the optical axisbetween a critical point C42 on the image-side surface 144 of the fourthlens element and the optical axis is HVT42. The following relations aresatisfied: HVT41=0.5695 mm, HVT42=1.3556 mm and HVT41/HVT42=0.4201.Hereby, the aberration in the off-axis view field can be corrected.

In the optical image capturing system of the first embodiment, thefollowing relation is satisfied: HVT42/HOI=0.4620. Hereby, theaberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, thefollowing relation is satisfied: HVT42/HOS=0.3063. Hereby, theaberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, an Abbenumber of the first lens element is NA1. An Abbe number of the secondlens element is NA2. An Abbe number of the third lens element is NA3. AnAbbe number of the fourth lens element is NA4. The following relationsare satisfied: |NA1−NA2|=0 and NA3/NA2=0.39921. Hereby, the chromaticaberration of the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, TVdistortion and optical distortion for image formation in the opticalimage capturing system are TDT and ODT, respectively. The followingrelations are satisfied: |TDT|=0.4% and |ODT|=2.5%.

Please refer to the following Table 1 and Table 2.

The detailed data of the optical image capturing system of the firstembodiment is as shown in Table 1.

TABLE 1 Data of the optical image capturing system f = 3.4375 mm, f/HEP= 2.23, HAF = 39.6900 deg; tan(HAF) = 0.8299 Surface Focal # CurvatureRadius Thickness Material Index Abbe # length 0 Object Plano At infinity1 Lens 1/ 1.466388 0.464000 Plastic 1.535 56.07 3.274 Ape. stop 27.914480 0.382000 3 Lens 2 −5.940659 0.397000 Plastic 1.535 56.07 3.7954 −1.551401 0.070000 5 Lens 3 −0.994576 0.710000 Plastic 1.642 22.46−6.302 6 −1.683933 0.286000 7 Lens 4 2.406736 0.873000 Plastic 1.53556.07 −8.338 8 1.366640 0.213000 9 IR-bandstop Plano 0.210000 BK7_ 1.51764.13 filter SCHOTT 10 Plano 0.820000 11 Image plane Plano Referencewavelength = 555 nm, shield position: clear aperture (CA) of the eighthsurface = 2.320 mm.

As for the parameters of the aspheric surfaces of the first embodiment,reference is made to Table 2.

TABLE 2 Aspheric Coefficients Surface # 1 2 3 4 k = −1.595426E+00−7.056632E+00 −2.820679E+01 −1.885740E+00 A4 = −4.325520E−04−2.633963E−02 −1.367865E−01 −9.745260E−02 A6 = 1.103749E+00 2.088207E−023.135755E−01 −1.032177E+00 A8 = −8.796867E+00 −1.122861E−01−6.149514E+00 8.016230E+00 A10 = 3.981982E+01 −7.137813E−01 3.883332E+01−4.215882E+01 A12 = −1.102573E+02 2.236312E+00 −1.463622E+021.282874E+02 A14 = 1.900642E+02 −2.756305E+00 3.339863E+02 −2.229568E+02A16 = −2.000279E+02 1.557080E+00 −4.566510E+02 2.185571E+02 A18 =1.179848E+02 −2.060190E+00 3.436469E+02 −1.124538E+02 A20 =−3.023405E+01 2.029630E+00 −1.084572E+02 2.357571E+01 Surface # 5 6 7 8k = 1.013988E−01 −3.460337E+01 −4.860907E+01 −7.091499E+00 A4 =2.504976E−01 −9.580611E−01 −2.043197E−01 −8.148585E−02 A6 =−1.640463E+00 3.303418E+00 6.516636E−02 3.050566E−02 A8 = 1.354700E+01−8.544412E+00 4.863926E−02 −8.218175E−03 A10 = −6.223343E+011.602487E+01 −7.086809E−02 1.186528E−03 A12 = 1.757259E+02 −2.036011E+013.815824E−02 −1.305021E−04 A14 = −2.959459E+02 1.703516E+01−1.032930E−02 2.886943E−05 A16 = 2.891641E+02 −8.966359E+00 1.413303E−03−6.459004E−06 A18 = −1.509364E+02 2.684766E+00 −8.701682E−056.571792E−07 A20 = 3.243879E+01 −3.481557E−01 1.566415E−06 −2.325503E−08

Table 1 is the detailed structure data to the first embodiment in FIG.1A, wherein the unit of the curvature radius, the thickness, thedistance, and the focal length is millimeters (mm) Surfaces 0-14illustrate the surfaces from the object side to the image plane in theoptical image capturing system. Table 2 is the aspheric coefficients ofthe first embodiment, wherein k is the conic coefficient in the asphericsurface formula, and A1-A20 are the first to the twentieth orderaspheric surface coefficient. Besides, the tables in the followingembodiments are referenced to the schematic view and the aberrationgraphs, respectively, and definitions of parameters in the tables areequal to those in the Table 1 and the Table 2, so the repetitiousdetails will not be given here.

The Second Embodiment Embodiment 2

Please refer to FIG. 2A, FIG. 2B, and FIG. 2C, FIG. 2A is a schematicview of the optical image capturing system according to the secondembodiment of the present application, FIG. 2B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the second embodiment of the present application, andFIG. 2C is a TV distortion grid of the optical image capturing systemaccording to the second embodiment of the present application. As shownin FIG. 2A, in order from an object side to an image side, the opticalimage capturing system includes first lens element 210, an aperture stop200, a second lens element 220, a third lens element 230, a fourth lenselement 240, an IR-bandstop filter 270, an image plane 280, and an imagesensing device 290.

The first lens element 210 has positive refractive power and it is madeof plastic material. The first lens element 210 has a convex object-sidesurface 212 and a concave image-side surface 214, both of theobject-side surface 212 and the image-side surface 214 are aspheric, andthe object-side surface 212 and the image-side surface 214 have aninflection point respectively.

The second lens element 220 has negative refractive power and it is madeof plastic material. The second lens element 220 has a convexobject-side surface 222 and a concave image-side surface 224, both ofthe object-side surface 222 and the image-side surface 224 are aspheric.The object-side surface 222 has two inflection points.

The third lens element 230 has positive refractive power and it is madeof plastic material. The third lens element 230 has a concaveobject-side surface 232 and a convex image-side surface 234, and both ofthe object-side surface 232 and the image-side surface 234 are aspheric.The image-side surface 234 has two inflection points.

The fourth lens element 240 has negative refractive power and it is madeof plastic material. The fourth lens element 240 has a convexobject-side surface 242 and a concave image-side surface 244, both ofthe object-side surface 242 and the image-side surface 244 are aspheric,and the object-side surface 242 has two inflection points and theimage-side surface 244 has an inflection point.

The IR-bandstop filter 270 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the fourth lens element 240 and the image plane 280.

In the optical image capturing system of the second embodiment, focallengths of the second lens element 220, the third lens element 230 andthe fourth lens element 240 are f2, f3 and f4, respectively. Thefollowing relations are satisfied: |f2|+|f3|=15.7857 mm,|f1|+|f4|=5.6102 mm and |f2|+|f3|>|f1|+|f4|.

In the optical image capturing system of the second embodiment, thefirst lens element 210 and the third lens element 230 are positive lenselements, and focal lengths of the first lens element 210 and the thirdlens element 230 are f1 and f3, respectively. A sum of focal lengths ofall lens elements with positive refractive power is ΣPP. The followingrelations is satisfied: ΣPP=f1+f3. Hereby, it is favorable forallocating the positive refractive power of the first lens element 210to other positive lens elements and the significant aberrationsgenerated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the second embodiment, focallengths of the second lens element 220 and the fourth lens element 240are f2 and f4, respectively. A sum of focal lengths of all lens elementswith negative refractive power is ΣNP. The following relation issatisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating thenegative refractive power of the fourth lens element 240 to othernegative lens elements.

Please refer to the following Table 3 and Table 4.

The detailed data of the optical image capturing system of the secondembodiment is as shown in Table 3.

TABLE 3 Data of the optical image capturing system f = 3.4817 mm; f/HEP= 2.2; HAF = 40.7309 deg; tan (HAF) = 0.8611 Focal Surface # CurvatureRadius Thickness Material Index Abbe # length 0 Object Plano At infinity1 Ape. stop Plano −0.090000 2 Lens 1 1.618984 0.759000 Plastic 1.54456.09 3.395 3 10.697639 0.042000 4 Lens 2 5.178890 0.238000 Plastic1.642 22.46 −13.547 5 3.197627 0.504000 6 Lens 3 −2.470538 0.983000Plastic 1.535 56.07 2.239 7 −0.920237 0.077000 8 Lens 4 2.9044190.482000 Plastic 1.515 56.55 −2.216 9 0.774215 0.365000 10 IR-bandstopPlano 0.200000 BK7_ 1.517 64.13 filter SCHOTT 11 Plano 0.800000 12 Imageplane Plano Reference wavelength = 555 nm, shield position: clearaperture (CA) of the third surface = 0.880 mm, clear aperture (CA) ofthe ninth surface = 2.820 mm.

As for the parameters of the aspheric surfaces of the second embodiment,reference is made to Table 4.

TABLE 4 Aspheric Coefficients Surface # 2 3 4 5 k = −1.152441E−01−6.466962E+00 −2.009489E+01   6.598891E+00 A4 = −4.507082E−02−2.655603E−01 −1.562386E−01   2.991276E−02 A6 =   2.000155E−01−8.582998E−01 −1.230106E+00 −4.000233E−01 A8 = −7.132974E−01  3.601505E+00   4.884005E+00   1.419484E+00 A10 =   1.141823E+00−5.997327E+00 −7.919087E+00 −2.108670E+00 A12 = −9.623379E−01  4.748236E+00   6.259639E+00   1.498087E+00 A14 =   2.524847E−01−1.500314E+00 −1.939904E+00 −3.836946E−01 A16 =   0.000000E+00  0.000000E+00   0.000000E+00   0.000000E+00 A18 =   0.000000E+00  0.000000E+00   0.000000E+00   0.000000E+00 A20 =   0.000000E+00  0.000000E+00   0.000000E+00   0.000000E+00 Surface # 6 7 8 9 k =  5.396435E+00 −1.350377E+00   0.000000E+00 −3.169782E+00 A4 =  9.264489E−02   6.861806E−02 −1.837760E−01 −1.510657E−01 A6 =−5.537761E−01   1.224484E−01 −1.769283E−01   9.501200E−02 A8 =  1.919923E+00 −8.675427E−01   4.489596E−01 −4.287650E−02 A10 =−4.348389E+00   1.823309E+00 −5.138780E−01   1.011704E−02 A12 =  6.075389E+00 −2.146705E+00   3.501374E−01 −4.116073E−04 A14 =−4.519205E+00   1.545910E+00 −1.473040E−01 −3.522061E−04 A16 =  1.387331E+00 −6.646044E−01   3.724658E−02   7.506380E−05 A18 =  3.124122E−03   1.555718E−01 −5.143568E−03 −4.824882E−06 A20 =−2.015581E−03 −1.523912E−02 −6.97617E+01  −1.03791E+01 

In the second embodiment, the presentation of the aspheric surfaceformula is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are equal to those in thefirst embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 3 and Table 4.

Second embodiment (Primary reference wavelength = 555 nm) InRS11 InRS12InRS21 InRS22 InRS31 InRS32 0.18994 −0.12354 −0.02149 0.17466 −0.26889−0.79347 InRS41 InRS42 InRSO InRSI Σ | InRS | −0.07736 0.10545 0.557681.19713 1.75481 Σ | InRS |/ Σ | InRS |/ ( | InRS22 | + ( | InRS32 | +InTL HOS | InRS31 | )/IN23 | InRS41 | )/IN34 0.56884 0.39434 0.880811.3437 ( | InRS31 | + | InRS32 | + ( | InRS31 | + | InRS32 | + | InRS41| + | InRS42 | )/InTL | InRS41 | + | InRS42 | )/HOS 0.40363 0.27981 |f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 1.02566 0.257011.55526 1.57152 0.25058 6.05131 ΣPPR ΣNPR ΣPPR/ ΣPP ΣNP f1/ΣPP | ΣNPR |2.58092 1.82853 1.41148 5.63331 −15.76253 0.60260 f4/ΣNP IN12/f IN23/fIN34/f TP3/f TP4/f 0.14056 0.01208 0.144641 0.022049 0.282342 0.138555InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 3.08491 4.45000 1.460930.97978 0.69324 0.79824 (TP1 + (TP4 + TP1/TP2 TP3/TP4 IN23/(TP2 + IN12)/IN34)/ IN23 + TP3) TP2 TP3 3.35728 0.56883 3.18095 2.03776 0.29192 HVT31HVT32 HVT41 HVT42 | ODT | % | TDT | % 0 0 0.53656 1.49704 1.633520.64281

The following contents may be deduced from Table 3 and Table 4.

Related inflection point values of second embodiment (Primary referencewavelength: 555 nm) HIF111 0.74096 HIF111/HOI 0.24326 SGI111 0.16734|SGI111|/ 0.18073 (|SGI111| + TP1) HIF121 0.15852 HIF121/HOI 0.05204SGI121 0.00099 |SGI121|/ 0.00131 (|SGI121| + TP1) HIF211 0.23811HIF211/HOI 0.07817 SGI211 0.00474 |SGI211|/ 0.01949 (|SGI211| + TP2)HIF212 0.73620 HIF212/HOI 0.24169 SGI212 −0.01058 |SGI212|/ 0.04247(|SGI212| + TP2) HIF321 1.05444 HIF321/HOI 0.34617 SGI321 −0.52225|SGI321|/ 0.34694 (|SGI321| + TP3) HIF322 1.31782 HIF322/HOI 0.43264SGI322 −0.73513 |SGI322|/ 0.42786 (|SGI322| + TP3) HIF411 0.26797HIF411/HOI 0.08797 SGI411 0.00969 |SGI411|/ 0.01969 (|SGI411| + TP4)HIF412 1.15638 HIF412/HOI 0.37964 SGI412 −0.06286 |SGI412|/ 0.11529(|SGI412| + TP4) HIF421 0.50511 HIF421/HOI 0.16583 SGI421 0.11686|SGI421|/ 0.19500 (|SGI421| + TP4)

The Third Embodiment Embodiment 3

Please refer to FIG. 3A, FIG. 3B, and FIG. 3C, FIG. 3A is a schematicview of the optical image capturing system according to the thirdembodiment of the present application, FIG. 3B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the third embodiment of the present application, andFIG. 3C is a TV distortion grid of the optical image capturing systemaccording to the third embodiment of the present application. As shownin FIG. 3A, in order from an object side to an image side, the opticalimage capturing system includes first lens element 310, an aperture stop300, a second lens element 320, a third lens element 330, a fourth lenselement 340, an IR-bandstop filter 370, an image plane 380, and an imagesensing device 390.

The first lens element 310 has positive refractive power and it is madeof plastic material. The first lens element 310 has a convex object-sidesurface 312 and a convex image-side surface 314, both of the object-sidesurface 312 and the image-side surface 314 are aspheric. The object-sidesurface 312 has an inflection point.

The second lens element 320 has negative refractive power and it is madeof plastic material. The second lens element 320 has a concaveobject-side surface 322 and a concave image-side surface 324, both ofthe object-side surface 322 and the image-side surface 324 are aspheric.The object-side surface 322 has four inflection points.

The third lens element 330 has positive refractive power and it is madeof plastic material. The third lens element 330 has a concaveobject-side surface 332 and a convex image-side surface 334, both of theobject-side surface 332 and the image-side surface 334 are aspheric. Theimage-side surface 334 has two inflection points.

The fourth lens element 340 has negative refractive power and it is madeof plastic material. The fourth lens element 340 has a convexobject-side surface 342 and a concave image-side surface 344, both ofthe object-side surface 342 and the image-side surface 344 are aspheric.The object-side surface 342 has two inflection points and the image-sidesurface 344 has an inflection point.

The IR-bandstop filter 370 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the fourth lens element 340 and the image plane 380.

In the optical image capturing system of the third embodiment, focallengths of the second lens element 320, the third lens element 330 andthe fourth lens element 340 are f2, f3 and f4, respectively. Thefollowing relations are satisfied: |f2|+|f3|=7.7448 mm, |f1|+|f4|=4.2836mm and |f2|+|f3|<|f1|+|f4|.

In the optical image capturing system of the third embodiment, a sum offocal lengths of all lens elements with positive refractive power isΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it isfavorable for allocating the positive refractive power of the first lenselement 310 to other positive lens elements and the significantaberrations generated in the process of moving the incident light can besuppressed.

In the optical image capturing system of the third embodiment, a sum offocal lengths of all lens elements with negative refractive power isΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it isfavorable for allocating the negative refractive power of the fourthlens element 340 to other negative lens elements.

Please refer to the following Table 5 and Table 6.

The detailed data of the optical image capturing system of the thirdembodiment is as shown in Table 5.

TABLE 5 Data of the optical image capturing system f = 3.5046 mm; f/HEP= 2.237; HAF = 39.4021 deg; tan (HAF) = 0.8215 Focal Surface # CurvatureRadius Thickness Material Index Abbe # length 0 Object Plano At infinity1 Ape. Stop/ 1.499716 0.629000 Plastic 1.544 56.09 3.266 Lens 1 2−9.721942 0.053000 3 Lens 2 −11.252277 0.300000 Plastic 1.642 22.46−10.192 4 5.810534 0.548000 5 Lens 3 −2.254724 0.987000 Plastic 1.54456.09 5.47294 6 −0.776351 0.025000 7 Lens 4 6.216025 0.559000 Plastic1.544 56.09 −7.515 8 0.777240 0.309000 9 IR-bandstop Plano 0.210000 BK7_1.517 64.13 filter SCHOTT 10 Plano 0.820000 11 Image plane Plano0.000000 Reference wavelength = 555 nm, shield position: clear aperture(CA) of the second surface = 0.845 mm, clear aperture (CA) of the eighthsurface = 2.448 mm.

As for the parameters of the aspheric surfaces of the third embodiment,reference is made to Table 6.

TABLE 6 Aspheric Coefficients Surface # 2 3 4 5 k = −1.873099E+00−9.468204E+02   1.318799E+02 −1.994376E+02 A4 =   4.856601E−02−3.661722E−02   2.159210E−01   3.158185E−01 A6 = −6.975013E−03−4.099098E−02 −3.762828E−01 −4.254951E−01 A8 = −2.093126E−02−7.656383E−01 −2.978596E−02   9.126343E−01 A10 = −2.035921E−01  1.245693E+00   4.666088E−01 −1.643977E+00 A12 =   3.660093E−01−2.920369E−01   8.310107E−02   1.950287E+00 A14 = −3.187618E−01−5.919692E−01 −3.099889E−01 −9.038971E−01 A16 = −1.847998E−02  2.267412E−01   0.000000E+00   0.000000E+00 A18 =   0.000000E+00  0.000000E+00   0.000000E+00   0.000000E+00 A20 =   0.000000E+00  0.000000E+00   0.000000E+00   0.000000E+00 Surface # 6 7 8 9 k =−2.506525E+01 −2.443579E+00 −9.559620E+02 −5.989421E+00 A4 =−2.298677E−01   6.675035E−03 −1.497691E−01 −1.036823E−01 A6 =  2.423960E−01 −1.883898E−01   7.387974E−02   5.533120E−02 A8 =−4.178397E−01   2.562271E−01 −1.715534E−02 −2.187902E−02 A10 =  4.979474E−01 −2.000954E−01   1.956794E−03   5.622309E−03 A12 =−3.327615E−01   9.339284E−02 −2.750255E−05 −9.042638E−04 A14 =  9.410130E−02 −1.761774E−02 −1.129289E−05   8.047673E−05 A16 =  0.000000E+00   0.000000E+00   0.000000E+00 −2.965170E−06 A18 =  0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00 A20 =  0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00

The presentation of the aspheric surface formula in the third embodimentis similar to that in the first embodiment. Besides, the definitions ofparameters in following tables are equal to those in the firstembodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 5 and Table 6.

Third embodiment (Primary reference wavelength: 555 nm) InRS11 InRS12InRS21 InRS22 InRS31 InRS32 0.19838 −0.09978 −0.00842 0.16649 −0.26340−0.78505 InRS41 InRS42 InRSO InRSI Σ | InRS | −0.28302 −0.01519 0.753221.06651 1.81973 Σ | InRS |/ Σ | InRS |/ ( | InRS22 | + ( | InRS32 | +InTL HOS | InRS31 | )/IN23 | InRS41 | )/IN34 0.58687 0.40985 0.784742.7226 ( | InRS31 | + | InRS32 | + ( | InRS31 | + | InRS32 | + | InRS41| + | InRS42 | )/InTL | InRS41 | + | InRS42 | )/HOS 0.43430 0.30330 |f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 1.36597 0.596421.87540 2.04004 0.43663 3.14442 ΣPPR ΣNPR ΣPPR/ ΣPP ΣNP f1/ΣPP | ΣNPR |3.24136 2.63646 1.22944 4.43439 −7.59398 0.57858 f4/ΣNP IN12/f IN23/fIN34/f TP3/f TP4/f 0.22622 0.01519 0.156317 0.007133 0.281613 0.159504InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 3.10073 4.44000 1.513290.95532 0.69836 0.79809 (TP1 + (TP4 + TP1/TP2 TP3/TP4 IN23/(TP2 + IN12)/IN34)/ IN23 + TP3) TP2 TP3 2.27318 0.59173 2.09578 1.76555 0.29858 HVT31HVT32 HVT41 HVT42 | ODT | % | TDT | % 0 0 0.37538 1.47848 2.414710.82878

The following contents may be deduced from Table 5 and Table 6.

Related inflection point values of third embodiment (Primary referencewavelength: 555 nm) HIF111 0.71014 HIF111/HOI 0.24204 SGI111 0.16738|SGI111|/ 0.21025 (|SGI111| + TP1) HIF211 0.21510 HIF211/HOI 0.07331SGI211 −0.00166 |SGI211|/ 0.00549 (|SGI211| + TP2) HIF212 0.44056HIF212/HOI 0.15016 SGI212 −0.00364 |SGI212|/ 0.01200 (|SGI212| + TP2)HIF213 0.68636 HIF213/HOI 0.23393 SGI213 −0.00722 |SGI213|/ 0.02349(|SGI213| + TP2) HIF214 0.73931 HIF214/HOI 0.25198 SGI214 −0.20360|SGI214|/ 0.40429 (|SGI214| + TP2) HIF321 1.05322 HIF321/HOI 0.35897SGI321 −0.55008 |SGI321|/ 0.35788 (|SGI321| + TP3) HIF322 1.34668HIF322/HOI 0.45899 SGI322 −0.77488 |SGI322|/ 0.43982 (|SGI322| + TP3)HIF411 0.18973 HIF411/HOI 0.06467 SGI411 0.00225 |SGI411|/ 0.00401(|SGI411| + TP4) HIF412 1.30354 HIF412/HOI 0.44429 SGI412 −0.15022|SGI412|/ 0.21181 (|SGI412| + TP4) HIF421 0.50984 HIF421/HOI 0.17377SGI421 0.11443 |SGI421|/ 0.16993 (|SGI421| + TP4)

The Fourth Embodiment Embodiment 4

Please refer to FIG. 4A, FIG. 4B, and FIG. 4C, FIG. 4A is a schematicview of the optical image capturing system according to the fourthembodiment of the present application, FIG. 4B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the fourth embodiment of the present application, andFIG. 4C is a TV distortion grid of the optical image capturing systemaccording to the fourth embodiment of the present application. As shownin FIG. 4A, in order from an object side to an image side, the opticalimage capturing system includes first lens element 410, an aperture stop400, a second lens element 420, a third lens element 430, a fourth lenselement 440, an IR-bandstop filter 470, an image plane 480, and an imagesensing device 490.

The first lens element 410 has positive refractive power and it is madeof plastic material. The first lens element 410 has a convex object-sidesurface 412 and a convex image-side surface 414, both of the object-sidesurface 412 and the image-side surface 414 are aspheric, and theobject-side surface 412 has an inflection point.

The second lens element 420 has negative refractive power and it is madeof plastic material. The second lens element 420 has a convexobject-side surface 422 and a concave image-side surface 424, both ofthe object-side surface 422 and the image-side surface 424 are aspheric.The object-side surface 422 has two inflection points.

The third lens element 430 has positive refractive power and it is madeof plastic material. The third lens element 430 has a concaveobject-side surface 432 and a convex image-side surface 434, both of theobject-side surface 432 and the image-side surface 434 are aspheric. Theimage-side surface 434 has two inflection points.

The fourth lens element 440 has negative refractive power and it is madeof plastic material. The fourth lens element 440 has a convexobject-side surface 442 and a concave image-side surface 444, both ofthe object-side surface 442 and the image-side surface 444 are aspheric,and the object-side surface 442 has three inflection points and theimage-side surface 444 has an inflection point.

The IR-bandstop filter 470 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the fourth lens element 440 and the image plane 480.

In the optical image capturing system of the fourth embodiment, focallengths of the second lens element 420, the third lens element 430 andthe fourth lens element 440 are f2, f3 and f4, respectively. Thefollowing relations are satisfied: |f2|+|f3|=9.8117 mm, |f1|+|f4|=4.5239mm and |f2|+|f3|>|f1|+|f4|.

In the optical image capturing system of the fourth embodiment, a sum offocal lengths of all lens elements with positive refractive power isΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it isfavorable for allocating the positive refractive power of the first lenselement 410 to other positive lens elements and the significantaberrations generated in the process of moving the incident light can besuppressed.

In the optical image capturing system of the fourth embodiment, a sum offocal lengths of all lens elements with negative refractive power isΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it isfavorable for allocating the negative refractive power of the fourthlens element 440 to other negative lens elements.

Please refer to the following Table 7 and Table 8.

The detailed data of the optical image capturing system of the fourthembodiment is as shown in Table 7.

TABLE 7 Data of the optical image capturing system f = 3.5072 mm; f/HEP= 2.23; HAF = 39.4017 deg; tan (HAF) = 0.8215 Focal Surface # CurvatureRadius Thickness Material Index Abbe # length 0 Object Plano At infinity1 Ape. Stop/ 1.563847 0.766000 Plastic 1.515 56.55 2.986 Lens 1 2−90.000000 0.044000 3 Lens 2 12.459639 0.290000 Plastic 1.642 22.46−8.150 4 3.673547 0.489000 5 Lens 3 −3.190597 0.997000 Plastic 1.54456.09 1.662 6 −0.784372 0.030000 7 Lens 4 90.000000 0.508000 Plastic1.515 56.55 −1.538 8 0.785546 0.286000 9 IR-band Plano 0.210000 BK7_1.517 64.13 stop filter SCHOTT 10 Plano 0.820000 11 Image Plano planeReference wavelength = 555 nm, shield position: clear aperture (CA) ofthe second surface = 0.845 mm, clear aperture (CA) of the eighth surface= 2.448 mm.

As for the parameters of the aspheric surfaces of the fourth embodiment,reference is made to Table 8.

TABLE 8 Aspheric Coefficients Surface # 1 2 3 4 k =   1.856652E−01−1.063089E+03 −8.817809E+02   6.226942E+00 A4 = −1.016637E−02−2.210979E−01 −1.159616E−01   3.164265E−02 A6 = −8.714509E−02  1.047406E−01   1.329540E−01 −2.254061E−02 A8 =   2.635062E−01−2.491387E−01 −1.161372E+00   6.987919E−02 A10 = −6.736484E−01  3.830277E−01   4.832710E+00 −2.924418E−02 A12 =   8.317448E−01−1.203248E−01 −1.084333E+01   3.157249E−02 A14 = −5.558668E−01−2.062173E−01   1.515700E+01   1.126484E−02 A16 =   1.073077E−01  8.919934E−02 −1.284873E+01 −6.628920E−03 A18 =   0.000000E+00  0.000000E+00   5.909368E+00   0.000000E+00 A20 =   0.000000E+00  0.000000E+00 −1.119378E+00   0.000000E+00 Surface # 5 6 7 8 k =  8.299870E+00 −6.012735E+00 −6.081157E+01 −5.886600E+00 A4 =  1.764761E−02 −5.054495E−01 −1.415905E−01 −1.069510E−01 A6 =  9.372590E−02   1.386596E+00 −4.120596E−02   4.814001E−02 A8 =−1.025491E+00 −3.196570E+00   1.001778E−01 −1.667447E−02 A10 =  3.457054E+00   5.005168E+00 −4.767279E−02   4.031905E−03 A12 =−6.799722E+00 −5.185228E+00   1.062763E−02 −6.770646E−04 A14 =  8.510945E+00   3.492638E+00 −1.169314E−03   7.190984E−05 A16 =−6.472109E+00 −1.451828E+00   5.045912E−05 −3.601511E−06 A18 =  2.681047E+00   3.354745E−01   0.000000E+00   0.000000E+00 A20 =−4.619522E−01 −3.284940E−02   0.000000E+00   0.000000E+00

The presentation of the aspheric surface formula in the fourthembodiment is similar to that in the first embodiment. Besides thedefinitions of parameters in following tables are equal to those in thefirst embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 7 and Table 8.

Fourth embodiment (Primary reference wavelength: 555 nm) InRS11 InRS12InRS21 InRS22 InRS31 InRS32 0.19798 −0.10163 −0.02304 0.15844 −0.22343−0.73430 InRS41 InRS42 InRSO InRSI Σ | InRS | −0.33712 −0.10355 0.781581.09792 1.87949 Σ | InRS |/ Σ | InRS |/ ( | InRS22 | + ( | InRS32 | +InTL HOS | InRS31 | )/IN23 | InRS41 | )/IN34 0.60165 0.42331 0.781535.7139 ( | InRS31 | + | InRS32 | + ( | InRS31 | + | InRS32 | + | InRS41| + | InRS42 | )/InTL | InRS41 | + | InRS42 | )/HOS 0.44764 0.31496 |f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 1.17456 0.430352.11010 2.28037 0.36639 4.90325 ΣPPR ΣNPR ΣPPR/ ΣPP ΣNP f1/ΣPP | ΣNPR |3.28466 2.71072 1.21173 4.64803 −9.68762 0.64241 f4/ΣNP IN12/f IN23/fIN34/f TP3/f TP4/f 0.15876 0.01258 0.139333 0.008554 0.284334 0.144888InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 3.12392 4.44000 1.513290.95541 0.70359 0.81984 (TP1 + (TP4 + TP1/TP2 TP3/TP4 IN23/(TP2 + IN12)/IN34)/ IN23 + TP3) TP2 TP3 2.79278 0.53965 2.64060 1.96244 0.27517 HVT31HVT32 HVT41 HVT42 | ODT | % | TDT | % 0 0 0.13949 1.37642 2.196120.34166

The following contents may be deduced from Table 7 and Table 8.

Related inflection point values of fourth embodiment (Primary referencewavelength: 555 nm) HIF111 0.76642 HIF111/HOI 0.26122 SGI111 0.18887|SGI111|/ 0.19784 (|SGI111| + TP1) HIF211 0.20951 HIF211/HOI 0.07141SGI211 0.00145 |SGI211|/ 0.00497 (|SGI211| + TP2) HIF212 0.74513HIF212/HOI 0.25396 SGI212 −0.01434 |SGI212|/ 0.04712 (|SGI212| + TP2)HIF321 1.01495 HIF321/HOI 0.34593 SGI321 −0.48107 |SGI3211|/ 0.32543(|SGI321| + TP3) HIF322 1.34807 HIF322/HOI 0.45946 SGI322 −0.70741|SGI322|/ 0.41500 (|SGI322| + TP3) HIF411 0.08072 HIF411/HOI 0.02751SGI411 0.00003 |SGI411|/ 0.00006 (|SGI411| + TP4) HIF412 1.12830HIF412/HOI 0.38456 SGI412 −0.16447 |SGI412|/ 0.24452 (|SGI412| + TP4)HIF413 1.72270 HIF413/HOI 0.58715 SGI413 −0.31797 |SGI413|/ 0.38490(|SGI413| + TP4) HIF421 0.50208 HIF421/HOI 0.17112 SGI421 0.11142SGI4211/ 0.17983 (|SGI421| + TP4)

The Fifth Embodiment Embodiment 5

Please refer to FIG. 5A, FIG. 5B, and FIG. 5C, FIG. 5A is a schematicview of the optical image capturing system according to the fifthsembodiment of the present application, FIG. 5B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the fifth embodiment of the present application, andFIG. 5C is a TV distortion grid of the optical image capturing systemaccording to the fifth embodiment of the present application. As shownin FIG. 5A, in order from an object side to an image side, the opticalimage capturing system includes first lens element 510, an aperture stop500, a second lens element 520, a third lens element 530, a fourth lenselement 540, an IR-bandstop filter 570, an image plane 580, and an Image sensing device 590.

The first lens element 510 has positive refractive power and it is madeof plastic material. The first lens element 510 has a convex object-sidesurface 512 and a convex image-side surface 514, both of the object-sidesurface 512 and the image-side surface 514 are aspheric, and theobject-side surface 512 has an inflection point.

The second lens element 520 has negative refractive power and it is madeof plastic material. The second lens element 520 has a convexobject-side surface 522 and a concave image-side surface 524, both ofthe object-side surface 522 and the image-side surface 524 are aspheric.The object-side surface 522 has two inflection points.

The third lens element 530 has positive refractive power and it is madeof plastic material. The third lens element 530 has a concaveobject-side surface 532 and a convex image-side surface 534, and both ofthe object-side surface 532 and the image-side surface 534 are aspheric.The image-side surface 534 has two inflection points.

The fourth lens element 540 has negative refractive power and it is madeof plastic material. The fourth lens element 540 has a convexobject-side surface 542 and a concave image-side surface 544, both ofthe object-side surface 542 and the image-side surface 544 are aspheric.The object-side surface 542 has three inflection points and theimage-side surface 544 has an inflection point.

The IR-bandstop filter 570 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the fourth lens element 540 and the image plane 580.

In the optical image capturing system of the fifth embodiment, focallengths of the second lens element 520, the third lens element 530 andthe fourth lens element 540 are f2, f3 and f4, respectively. Thefollowing relations are satisfied: |f2|+|f3|=10.1202 mm,|f1|+|f4|=4.7004 mm and |f2|+|f3|>|f1|+|f4|.

In the optical image capturing system of the fifth embodiment, a sum offocal lengths of all lens elements with positive refractive power isΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it isfavorable for allocating the positive refractive power of the first lenselement 510 to other positive lens elements and the significantaberrations generated in the process of moving the incident light can besuppressed.

In the optical image capturing system of the fifth embodiment, a sum offocal lengths of all lens elements with negative refractive power isΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it isfavorable for allocating the negative refractive power of the fourthlens element 540 to other negative lens elements.

Please refer to the following Table 9 and Table 10.

The detailed data of the optical image capturing system of the fifthembodiment is as shown in Table 9.

TABLE 9 Data of the optical image capturing system f = 3.4995 mm; f/HEP= 2.23, HAF = 39.4014 deg; tan (HAF) = 0.8215 Focal Surface # CurvatureRadius Thickness Material Index Abbe # length 0 Object Plano At infinity1 Ape. Stop/ 1.522900 0.717000 Plastic 1.515 56.55 2.908 Lens 1 2−89.862389 0.040000 3 Lens 2 15.692725 0.290000 Plastic 1.642 22.46−8.193 4 3.936432 0.488000 5 Lens 3 −2.697141 0.968000 Plastic 1.54456.09 1.927 6 −0.852819 0.030000 7 Lens 4 90.000000 0.600000 Plastic1.515 56.55 −1.792 8 0.913606 0.277000 9 IR-bandstop Plano 0.210000 BK_71.517 64.13 filter 10 Plano 0.820000 11 Image plane Plano Referencewavelength = 555 nm, shield position: clear aperture (CA) of the secondsurface = 0.824 mm, clear aperture (CA) of the eighth surface = 2.447mm.

As for the parameters of the aspheric surfaces of the fifth embodiment,reference is made to Table 10.

TABLE 10 Aspheric Coefficients Surface # 1 2 3 4 k =   1.571382E−01−1.063089E+03 −8.817809E+02   1.016053E+01 A4 = −1.030087E−02−9.738365E−02 −8.268257E−03   6.737801E−02 A6 = −8.288238E−02−2.249637E−01 −5.266768E−02   7.460937E−04 A8 =   2.543792E−01−2.624638E−01 −1.737835E+00 −3.774073E−01 A10 = −6.701041E−01  1.916199E+00   8.257505E+00   1.453412E+00 A12 =   8.138790E−01−3.292123E+00 −1.878466E+01 −2.444139E+00 A14 = −5.558668E−01  2.574033E+00   2.553742E+01   2.137602E+00 A16 =   1.073077E−01−8.357221E−01 −2.056678E+01 −7.365190E−01 A18 =   0.000000E+00  0.000000E+00   8.916153E+00   0.000000E+00 A20 =   0.000000E+00  0.000000E+00 −1.593755E+00   0.000000E+00 Surface # 5 6 7 8 k =  5.975077E+00 −6.447877E+00   0.000000E+00 −3.628721E+00 A4 =  2.985012E−02 −5.955323E−01 −4.330723E−01 −1.873545E−01 A6 =  2.374905E−02   1.590117E+00   2.910066E−01   1.191542E−01 A8 =−5.711311E−01 −3.449292E+00 −1.678774E−01 −5.178869E−02 A10 =  2.078226E+00   5.226491E+00   5.804297E−02   1.065338E−02 A12 =−4.004345E+00 −5.323991E+00 −9.712275E−03   5.070161E−04 A14 =  4.945266E+00   3.573399E+00   1.825935E−03 −7.535001E−04 A16 =−3.765965E+00 −1.497312E+00 −1.279563E−03   1.462378E−04 A18 = 1.578230E+00   3.516998E−01   4.270377E−04 −9.673083E−06 A20 =−2.780493E−01 −3.520880E−02 −4.804801E−05   0.000000E+00

The presentation of the aspheric surface formula in the fifth embodimentis similar to that in the first embodiment. Besides the definitions ofparameters in following tables are equal to those in the firstembodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 9 and Table 10.

Fifth embodiment (Primary reference wavelength: 555 nm) InRS11 InRS12InRS21 InRS22 InRS31 InRS32 0.20256 −0.08718 −0.01362 0.15314 −0.22450−0.68345 InRS41 InRS42 InRSO InRSI Σ | InRS | −0.27943 −0.06151 0.720100.98529 1.70539 Σ | InRS |/ Σ | InRS |/ ( | InRS22 | + ( | InRS32 | +InTL HOS | InRS31 | )/IN23 | InRS41 | )/IN34 0.54438 0.38410 0.774332.0962 ( | InRS31 | + | InRS32 | + ( | InRS31 | + | InRS32 | + | InRS41| + | InRS42 | )/InTL | InRS41 | + | InRS42 | )/HOS 0.39866 0.28128 |f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 1.20321 0.427141.81565 1.95294 0.35500 4.25069 ΣPPR ΣNPR ΣPPR/ ΣPP ΣNP f1/ΣPP | ΣNPR |3.01886 2.38009 1.26838 4.83588 −9.98474 0.60144 f4/ΣNP IN12/f IN23/fIN34/f TP3/f TP4/f 0.17946 0.01143 0.139364 0.008573 0.276687 0.171453InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 3.13270 4.44000 1.513290.95438 0.70556 0.82197 (TP1 + (TP4 + TP1/TP2 TP3/TP4 IN23/(TP2 + IN12)/IN34)/ IN23 + TP3) TP2 TP3 2.60940 0.65065 2.47147 1.61378 0.27933 HVT31HVT32 HVT41 HVT42 | ODT | % | TDT | % 0 0 0.12734 1.42290 2.237370.39905

The following contents may be deduced from Table 9 and Table 10.

Related inflection point values of fifth embodiment (Primary referencewavelength: 555 nm) HIF111 0.75244 HIF111/HOI 0.25646 SGI111 0.18766|SGI111|/ 0.20750 (|SGI111| + TP1) HIF211 0.28181 HIF211/HOI 0.09605SGI211 0.00225 |SGI211|/ 0.00769 (|SGI211| + TP2) HIF212 0.72941HIF212/HOI 0.24861 SGI212 −0.00733 |SGI212|/ 0.02466 (|SGI212| + TP2)HIF321 0.96969 HIF321/HOI 0.33050 SGI321 −0.43601 |SGI321|/ 0.31049(|SGI321| + TP3) HIF322 1.31143 HIF322/HOI 0.44698 SGI322 −0.65359|SGI322|/ 0.40299 (|SGI322| + TP3) HIF411 0.07339 HIF411/HOI 0.02501SGI411 0.00003 |SGI411|/ 0.00004 (|SGI411| + TP4) HIF412 1.11644HIF412/HOI 0.38052 SGI412 −0.13957 |SGI412|/ 0.18872 (|SGI412| + TP4)HIF413 1.70090 HIF413/HOI 0.57972 SGI413 −0.26546 |SGI413|/ 0.30673(|SGI413| + TP4) HIF421 0.52619 HIF421/HOI 0.17934 SGI421 0.10801|SGI421|/ 0.15255 (|SGI421| + TP4)

The Sixth Embodiment Embodiment 6

Please refer to FIG. 6A, FIG. 6B, and FIG. 6C, FIG. 6A is a schematicview of the optical image capturing system according to the sixthEmbodiment of the present application, FIG. 6B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the sixth Embodiment of the present application, andFIG. 6C is a TV distortion grid of the optical image capturing systemaccording to the sixth Embodiment of the present application. As shownin FIG. 6A, in order from an object side to an image side, the opticalimage capturing system includes first lens element 610, an aperture stop600, a second lens element 620, a third lens element 630, a fourth lenselement 640, an IR-bandstop filter 670, an image plane 680, and an imagesensing device 690.

The first lens element 610 has positive refractive power and it is madeof plastic material. The first lens element 610 has a convex object-sidesurface 612 and a convex image-side surface 614, both of the object-sidesurface 612 and the image-side surface 614 are aspheric, and theobject-side surface 612 has an inflection point.

The second lens element 620 has positive refractive power and it is madeof plastic material. The second lens element 620 has a convexobject-side surface 622 and a concave image-side surface 624, and bothof the object-side surface 622 and the image-side surface 624 areaspheric. The object-side surface 622 has two inflection points.

The third lens element 630 has negative refractive power and it is madeof plastic material. The third lens element 630 has a concaveobject-side surface 632 and a convex image-side surface 634, both of theobject-side surface 632 and the image-side surface 634 are aspheric. Theimage-side surface 634 has two inflection points.

The fourth lens element 640 has positive refractive power and it is madeof plastic material. The fourth lens element 640 has a convexobject-side surface 642 and a concave image-side surface 644, both ofthe object-side surface 642 and the image-side surface 644 are aspheric.The object-side surface 642 has three inflection points and theimage-side surface 644 has an inflection point.

The IR-bandstop filter 670 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the fourth lens element 640 and the image plane 680.

In the optical image capturing system of the sixth Embodiment, focallengths of the second lens element 620, the third lens element 630 andthe fourth lens element 640 are f2, f3 and f4, respectively. Thefollowing relations are satisfied: |f2|+|f3|=10.1424 mm,|f1|+|f4|=4.7155 mm and |f2|+|f3|≦|f1|+|f4|.

In the optical image capturing system of the sixth Embodiment, a sum offocal lengths of all lens elements with positive refractive power isΣPP. The following relations are satisfied: ΣPP=f1+f3. Hereby, it isfavorable for allocating the positive refractive power of the first lenselement 610 to other positive lens elements and the significantaberrations generated in the process of moving the incident light can besuppressed.

In the optical image capturing system of the sixth Embodiment, a sum offocal lengths of all lens elements with negative refractive power isENP. The following relations are satisfied: ΣNP=f2+f4. Hereby, it isfavorable for allocating the negative refractive power of the fourthlens element 640 to other negative lens elements.

Please refer to the following Table 11 and Table 12.

The detailed data of the optical image capturing system of the sixthEmbodiment is as shown in Table 11.

TABLE 11 Data of the optical image capturing system f = 3.5002 mm; f/HEP= 2.23; HAF = 39.4017 deg; tan (HAF) = 0.8215 Focal Surface # CurvatureRadius Thickness Material Index Abbe # length 0 Object Plano At infinity1 Ape. Stop/ 1.564530 0.748000 Plastic 1.515 56.55 2.987 Lens 1 2−90.000000 0.044000 3 Lens 2 10.628269 0.290000 Plastic 1.642 22.46−8.288 4 3.528062 0.492000 5 Lens 3 −2.991183 0.957000 Plastic 1.54456.09 1.855 6 −0.841921 0.030000 7 Lens 4 75.151532 0.570000 Plastic1.515 56.55 −1.728 8 0.879580 0.279000 9 IR-bandstop Plano 0.210000 BK_71.517 64.13 filter 10 Plano 0.820000 11 Image plane Plano Referencewavelength = 555 nm, shield position: clear aperture (CA) of the secondsurface = 0.824 mm, clear aperture (CA) of the eighth surface = 2.447mm.

As for the parameters of the aspheric surfaces of the sixth Embodiment,reference is made to Table 12.

TABLE 12 Aspheric Coefficients Surface # 1 2 3 4 k =   1.471332E−01−1.063089E+03 −8.817809E+02   6.007459E+00 A4 = −1.114494E−02−2.185415E−01 −8.349209E−02   2.629573E−02 A6 = −8.489585E−02  9.114441E−02   3.747543E−02   5.451529E−02 A8 =   2.562717E−01−2.487727E−01 −1.051170E+00 −3.551174E−01 A10 = −6.738303E−013.807490E−01   5.123206E+00   1.231000E+00 A12 =   8.281685E−01−1.103433E−01 −1.241264E+01 −2.058750E+00 A14 = −5.558668E−01−2.045879E−01   1.808955E+01   1.806683E+00 A16 =   1.073077E−01  8.919934E−02 −1.550777E+01 −6.235037E−01 A18 =   0.000000E+00  0.000000E+00   7.077524E+00   0.000000E+00 A20 =   0.000000E+00  0.000000E+00 −1.318581E+00   0.000000E+00 Surface # 5 6 7 8 k =  7.236101E+00 −6.081547E+00 −6.081157E+01 −5.793338E+00 A4 =  1.126781E−02 −5.135853E−01 −1.476237E−01 −1.114576E−01 A6 =  1.573676E−01   1.333901E+00 −2.266350E−02   5.833245E−02 A8 =−1.189157E+00 −2.964713E+00   9.400952E−02 −2.444296E−02 A10 =  3.606609E+00   4.584002E+00 −5.020964E−02   7.150626E−03 A12 =−6.438781E+00 −4.753545E+00   1.251071E−02 −1.378744E−03 A14 =  7.496469E+00   3.247978E+00 −1.553394E−03   1.547448E−04 A16 =−5.466782E+00 −1.382603E+00   7.609222E−05 −7.563403E−06 A18 =  2.221444E+00   3.287134E−01   0.000000E+00   0.000000E+00 A20 =−3.811012E−01 −3.317522E−02   0.000000E+00   0.000000E+00

In the sixth Embodiment, the presentation of the aspheric surfaceformula is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are equal to those in thefirst embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 11 and Table 12.

Sixth embodiment (Primary reference wavelength: 555 nm) InRS11 InRS12InRS21 InRS22 InRS31 InRS32 0.19539 −0.10102 −0.01767 0.16097 −0.22211−0.69804 InRS41 InRS42 InRSO InRSI Σ | InRS | −0.29769 −0.08321 0.732861.04324 1.77610 Σ | InRS |/ Σ | InRS |/ ( | InRS22 | + ( | InRS32 | +InTL HOS | InRS31 | )/IN23 | InRS41 | )/IN34 0.56722 0.40002 0.778933.1909 ( | InRS31 | + | InRS32 | + ( | InRS31 | + | InRS32 | + | InRS41| + | InRS42 | )/InTL | InRS41 | + | InRS42 | )/HOS 0.41551 0.29303 |f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 1.17181 0.422351.88716 2.02508 0.36042 4.46829 ΣPPR ΣNPR ΣPPR/ ΣPP ΣNP f1/ΣPP | ΣNPR |3.05897 2.44743 1.24987 4.84178 −10.01604 0.61693 f4/ΣNP IN12/f IN23/fIN34/f TP3/f TP4/f 0.17257 0.01261 0.140518 0.008571 0.273539 0.162846InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 3.13121 4.44000 1.513290.95599 0.70523 0.81925 (TP1 + (TP4 + TP1/TP2 TP3/TP4 IN23/(TP2 + IN12)/IN34)/ IN23 + TP3) TP2 TP3 2.73074 0.62666 2.57855 1.67974 0.28278 HVT31HVT32 HVT41 HVT42 | ODT | % | TDT | % 0 0 0.14980 1.39507 2.197140.35587

The following contents may be deduced from Table 11 and Table 12.

Related inflection point values of sixth Embodiment (Primary referencewavelength: 555 nm) HIF111 0.75289 HIF111/HOI 0.25661 SGI111 0.18126|SGI111|/ 0.19510 (|SGI111| + TP1) HIF211 0.23064 HIF211/HOI 0.07861SGI211 0.00205 |SGI211|/ 0.00702 (|SGI211| + TP2) HIF212 0.73463HIF212/HOI 0.25038 SGI212 −0.00993 |SGI212|/ 0.03310 (|SGI212| + TP2)HIF321 0.97918 HIF321/HOI 0.33374 SGI321 −0.44456 |SGI321|/ 0.31708(|SGI321| + TP3) HIF322 1.31298 HIF322/HOI 0.44751 SGI322 −0.66223|SGI322|/ 0.40886 (|SGI322| + TP3) HIF411 0.08660 HIF411/HOI 0.02952SGI411 0.00004 |SGI411|/ 0.00007 (|SGI411| + TP4) HIF412 1.10675HIF412/HOI 0.37722 SGI412 −0.14562 |SGI412|/ 0.20349 (|SGI412| + TP4)HIF413 1.70335 HIF413/HOI 0.58056 SGI413 −0.28188 |SGI413|/ 0.33089(|SGI413| + TP4) HIF421 0.52146 HIF421/HOI 0.17773 SGI421 0.10998|SGI421|/ 0.16174 (|SGI421| + TP4) HIF422 0.75289 HIF422/HOI 0.25661SGI422 0.18126 |SGI422|/ 0.19510 (|SGI422| + TP4)

The above-mentioned descriptions represent merely the exemplaryembodiment of the present disclosure, without any intention to limit thescope of the present disclosure thereto. Various equivalent changes,alternations or modifications based on the claims of present disclosureare all consequently viewed as being embraced by the scope of thepresent disclosure.

What is claimed is:
 1. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with positiverefractive power; a second lens element with refractive power; a thirdlens element with refractive power; a fourth lens element withrefractive power; and an image plane; wherein the optical imagecapturing system consists of four lens elements with refractive power,at least two lens elements among the four lens elements respectivelyhave at least one inflection point on at least one surface thereof, atleast one of the second through fourth lens elements has positiverefractive power, an object-side surface and an image-side surface ofthe fourth lens element are aspheric, focal lengths of the first throughfourth lens elements are f1, f2, f3 and f4 respectively, a focal lengthof the optical image capturing system is f, an entrance pupil diameterof the optical image capturing system is HEP, a distance from anobject-side surface of the first lens element to the image plane is HOS,a distance from the object-side surface of the first lens element to theimage-side surface of the fourth lens element on an optical axis isInTL, a sum of an absolute value of each distance in parallel with theoptical axis from a maximum effective half diameter position on anobject-side surface of each of the four lens elements to an axial pointon the object-side surface of each of the four lens elements is InRSO, asum of an absolute value of each distance in parallel with the opticalaxis from a maximum effective half diameter position on an image-sidesurface of each of the four lens elements to an axial point on theimage-side surface of each of the four lens elements is InRSI, a sum ofInRSO and InRSI is Σ|InRS|, and the following relations are satisfied:1.2≦f/HEP≦6.0, 0.5≦HOS/f≦3.0 and 0<Σ|InRS|/InTL≦3.
 2. The optical imagecapturing system of claim 1, wherein TV distortion for image formationin the optical image capturing system is TDT, optical distortion forimage formation in the optical image capturing system is ODT, a half ofview angle of the optical image capturing system is HAF, and thefollowing relations are satisfied: 0 deg<HAF≦70 deg, |TDT|<60% and|ODT|<50%.
 3. The optical image capturing system of claim 1, wherein thethird lens element and the fourth lens element have at least oneinflection point on at least one surface respectively.
 4. The opticalimage capturing system of claim 3, wherein the fourth lens element hasat least one inflection point on any one surface.
 5. The optical imagecapturing system of claim 3, wherein the first lens element and thesecond lens element have at least one inflection point on at least onesurface respectively.
 6. The optical image capturing system of claim 5,further comprising an aperture stop, a distance from the aperture stopto the image plane on the optical axis is InS, an image sensing deviceis disposed on the image plane, a half of a diagonal of an effectivedetection field of the image sensing device is HOI, and the followingrelations are satisfied: 0.5≦InS/HOS≦1.2 and 0<HIF/HOI≦0.9.
 7. Theoptical image capturing system of claim 1, wherein a distanceperpendicular to the optical axis between the inflection point and theoptical axis is HIF, and the following relation is satisfied: 0 mm<HIF≦5mm.
 8. The optical image capturing system of claim 1, wherein the fourthlens element has negative refractive power.
 9. The optical imagecapturing system of claim 1, wherein a distance from the object-sidesurface of the first lens element to the image-side surface of thefourth lens element is InTL and the following relation is satisfied:0.5≦InTL/HOS≦0.9.
 10. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with positiverefractive power; a second lens element with refractive power; a thirdlens element with refractive power; a fourth lens element withrefractive power; and an image plane; wherein the optical imagecapturing system consists of four lens elements with refractive power,at least two lens elements among the four lens elements respectivelyhave at least one inflection point on at least one surface thereof, atleast one of the second through fourth lens elements has positiverefractive power, an object-side surface and an image-side surface ofthe fourth lens element are aspheric, focal lengths of the first throughfourth lens elements are f1, f2, f3 and f4, respectively, a focal lengthof the optical image capturing system is f, an entrance pupil diameterof the optical image capturing system is HEP, a distance from anobject-side surface of the first lens element to the image plane is HOS,a distance from the object-side surface of the first lens element to theimage-side surface of the fourth lens element on an optical axis isInTL, a sum of an absolute value of each distance in parallel with theoptical axis from a maximum effective half diameter position on anobject-side surface of each of the four lens elements to an axial pointon the object-side surface of each of the four lens elements is InRSO, asum of an absolute value of each distance in parallel with the opticalaxis from a maximum effective half diameter position on an image-sidesurface of each of the four lens elements to an axial point on theimage-side surface of each of the four lens elements is InRSI, a sum ofInRSO and InRSI is Σ|InRS|, and the following relations are satisfied:1.2≦f/HEP≦6.0, 0.5≦HOS/f≦3.0, 0<Σ|InRS|/InTL≦3, and 0 mm<HOS≦7 mm. 11.The optical image capturing system of claim 10, wherein the third lenselement and the fourth lens element have at least one inflection pointon at least one surface respectively.
 12. The optical image capturingsystem of claim 10, wherein the first lens element and the second lenselement have at least one inflection point on at least one surfacerespectively.
 13. The optical image capturing system of claim 10,wherein a distance from the first lens element to the second lenselement on the optical axis is IN12, and the following relation issatisfied: 0<IN12/f≦0.2.
 14. The optical image capturing system of claim10, wherein a distance from the third lens element to the fourth lenselement on the optical axis is IN34, and the following relation issatisfied: 0<IN34/f≦0.2.
 15. The optical image capturing system of claim10, wherein a central thicknesses of the third lens elements on theoptical axis is TP3 and the following relation is satisfied:0<TP3/f≦0.2.
 16. The optical image capturing system of claim 10, whereina distance in parallel with the optical axis from a maximum effectivehalf diameter position to an axial point on the object-side surface ofthe third lens element is InRS31, a distance in parallel with theoptical axis from a maximum effective half diameter position to an axialpoint on the image-side surface of the third lens element is InRS32, adistance in parallel with the optical axis from a maximum effective halfdiameter position to an axial point on the object-side surface of thefourth lens element is InRS41, a distance in parallel with the opticalaxis from a maximum effective half diameter position to an axial pointon the image-side surface of the fourth lens element is InRS42, and thefollowing relation is satisfied:0<(|InRS31|+|InRS32|+|InRS41|+|InRS42|)/InTL≦2.
 17. The optical imagecapturing system of claim 10, wherein a thickness of the second lenselement and a thickness of the third lens element on the optical axisrespectively are TP2 and TP3, the distance from the second lens elementto the third lens element on the optical axis is IN23, and the followingrelation is satisfied: 0.01<IN23/(TP2+IN23+TP3)≦0.5.
 18. The opticalimage capturing system of claim 10, wherein the following relations aresatisfied: 0<|f/f1|≦2, 0<|f/f2|≦2, 0<|f/f3|≦2 and 0<|f/f4|≦3.
 19. Anoptical image capturing system, from an object side to an image side,comprising: a first lens element with positive refractive power; asecond lens element with negative refractive power; a third lens elementwith refractive power and at least one surface among an object-sidesurface and an image-side surface of the third lens element having atleast one inflection point; a fourth lens element with refractive powerand at least one surface among an object-side surface and an image-sidesurface of the fourth lens element having at least one inflection point;and an image plane; wherein the optical image capturing system consistsof four lens elements with refractive power, an object-side surface andan image-side surface of the fourth lens element are aspheric, at leastone lens element among the first lens element and the second lenselement has at least one inflection point on at least one surface, focallengths of the first through fourth lens elements are f1, f2, f3 and f4,respectively, a focal length of the optical image capturing system is f,an entrance pupil diameter of the optical image capturing system is HEP,a half of maximum view angle of the optical image capturing system isHAF, a distance from an object-side surface of the first lens element tothe image plane is HOS, a distance from the object-side surface of thefirst lens element to the image-side surface of the fourth lens elementon an optical axis is InTL, optical distortion and TV distortion forimage formation in the optical image capturing system are ODT and TDT,respectively, a sum of an absolute value of each distance in parallelwith the optical axis from a maximum effective half diameter position onan object-side surface of each of the four lens elements to an axialpoint on the object-side surface of each of the four lens elements isInRSO, a sum of an absolute value of each distance in parallel with theoptical axis from a maximum effective half diameter position on animage-side surface of each of the four lens elements to an axial pointon the image-side surface of each of the four lens elements is InRSI, asum of InRSO and InRSI is Σ|InRS|, and the following relations aresatisfied: 1.2≦f/HEP≦3.0, 0.4≦| tan(HAF)|≦3.0, 0.5≦HOS/f≦2.5, |TDT|<60%,|ODT|≦50% and 0<Σ|InRS|/InTL≦3.
 20. The optical image capturing systemof claim 19, wherein a distance perpendicular to the optical axisbetween each inflection point of the fourth lens element and the opticalaxis is HIF and the following relation is satisfied: 0 mm<HIF≦5 mm. 21.The optical image capturing system of claim 20, wherein a specific ratiovalue f/fp of the focal length f of the optical image capturing systemto a focal length fp of each lens element with positive refractive poweris PPR, a specific ratio value f/fn of the focal length f of the opticalimage capturing system to a focal length fn of each lens element withnegative refractive power is NPR, a total PPR of all lens elements withpositive refractive power is ΣPPR, a total NPR of all lens elements withnegative refractive power is ΣNPR, and the following relation issatisfied: 0.5≦ΣPPR/|ΣNPR|≦4.5.
 22. The optical image capturing systemof claim 19, wherein a thickness of the first lens element and athickness of the second lens element on the optical axis respectivelyare TP1 and TP2, and the following relation is satisfied: 0<TP1/TP2≦10.23. The optical image capturing system of claim 22, wherein a thicknessof the third lens element and a thickness of the fourth lens element onthe optical axis respectively are TP3 and TP4, and the followingrelation is satisfied: 0<TP3/TP4≦10.
 24. The optical image capturingsystem of claim 22, further comprising an aperture stop, a distance fromthe aperture stop to the image plane on the optical axis is InS, theoptical image capturing system is disposed with an image sensing deviceon the image plane and with at least eight millions pixels, a half of adiagonal of an effective detection field of the image sensing device isHOT and the following relations are satisfied: 0.5≦InS/HOS≦1.2 andHOI>2.3 mm.